Hcf of two consecutive even number is
WebFeb 2, 2024 · Ans.5 When two consecutive numbers are added together, the HCF is always one. The product of any two consecutive numbers is the LCM of those values. … WebWe know that any even number is of the form 2 k where k is integer. The even number next to 2 k is 2 k + 2, which can be written as 2 (k + 1) k and k + 1 are consecutive …
Hcf of two consecutive even number is
Did you know?
WebThe HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer is 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The HCF of two consecutive even numbers isa)1b)2c)0d)3Correct answer is 'B'. WebHCF of two consecutive numbers will be 1 For example, if we assume the two consecutive numbers as 9 and 10 Then, factors of 9 are 1,3,9 Factors of 10 are 1,2,5,10 And their HCF will be 1 Was this answer helpful? 0 0 Similar questions Which one of the following is the common factor of (47 43+43 43) and (47 47+ 43 47)? Easy View solution >
WebJun 4, 2015 · Option (C) The HCF of two consecutive even numbers is 2 Even numbers are those numbers which are divisible by 2. If we talk about two consecutive even numbers, then their highest common factor will be only 2 and hence, the statement is true. For example: H.C.F. of 4 and 6 is 2, H.C.F. of 6 and 8 is also 2. WebSolution Let us suppose the two consecutive even numbers be 2x and 2x + 2. Now, product of two numbers = HCF × LCM ⇒ (2x) (2x + 2) = 2 × 180 (HCM of two even number is 2) ⇒ (x) (2x + 2) = 180 ⇒ 2x 2 + 2x = 180 ⇒ 2x 2 + 2x − 180 = 0 ⇒ x 2 + x − 90 = 0 ⇒ (x − 9) (x + 10) = 0 ⇒ x − 9 = 0 or x + 10 = 0 ⇒ x = 9 or x = −10 (Neglecting)
WebMar 30, 2024 · As we have to find the Highest Common Factor (HCF) of even consecutive numbers, they are: 2, 4, 6, 8, 10 and so on. We can also represent any two consecutive even numbers as 2 and ( 2 n + 2), where ( 2 n + 2) is also an even number next to 2 n. Let first even number be 2 n then the second consecutive even number will be ( 2 n + 2). WebMar 30, 2024 · Two consecutive even numbers can be 10, 12 2 10 5 5 1 2 12 2 6 3 2 1 HCF of 10 & 12 Ex 3.6, 2 What is the HCF of two consecutive (c) odd numbers? Two consecutive odd numbers can be …
WebFinding the HCF of two consecutive even numbers: Even Number: A number which is divisible by 2 is called even number. Lets take any two consecutive even numbers say …
WebThe highest common divisor, or (HCF), of two or more positive numbers is the greatest positive number that divides the integers without leaving a remainder, as the arithmetic … pacific feed and supplyWebConsider two consecutive even numbers. They are of the form 2 n, 2 n + 2 for some integer n. 2 n = 2 × n. 2 n + 2 = 2 × (n + 1) The numbers n, n + 1, being two consecutive integers, are relatively prime. They do not have any factor other than 1 common to them. Hence HCF of two consecutive even numbers is 2. So the correct answer is option D jeopardy seniors tournament july 1991WebIf the HCF and LCM of two consecutive (positive) even numbers be 2 and 84 respectively, then the sum of the numbers is. Download App. Academic Resource. Aptitude Data Interpretation ... If the HCF and LCM of two consecutive (positive) even numbers be 2 and 84 respectively, then the sum of the numbers is. 30 ; 26; 14 ; 34; jeopardy shirts and productsWebExample 1: Find the HCF of 72 and 120. Solution: The given numbers are 72 and 120. To find the HCF of two numbers 72 and 120 we can use the prime factorization method. In the prime factorization method firstly we need to write all the prime factors of respective numbers and then find the highest common factor among the two. pacific feats festivalWebApr 11, 2024 · An undulating number is a number that only consists of two types of digits and every second digit is the same. We can say an undulating number is of the form “PQPQPQ” where P and Q are two different digits of the number system. The first digit and second digit of an undulating number can never be the same i.e., 11111 is not an … pacific feeder servicesWebHCF of two consecutive even numbers is a) 0 b) 1 c) 2 3. If d = HCF (48, 72), the value of d is ... The two consecutive odd positive integers, sum of whose squares is 290 are a) 11, 13 b) 13, 17 c) none of these 8. The difference of two numbers is 26 and the larger number exceeds thrice of the smaller number ... pacific feeds fijiWebOct 10, 2024 · The HCF of two consecutive numbers is 1. The HCF of 7 and 8 is 1. (b) The HCF of two consecutive even numbers is 2. The HCF of 4 and 6 is 2. (c) The HCF of two consecutive odd numbers is 1. The HCF of 3 and 5 is 1. jeopardy seniors tournament july 8 1991