Find the hcf of two consecutive odd numbers
WebExample 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. WebApr 28, 2024 · In between every two odd numbers there comes an even number. So, any two consecutive odd numbers can be anything. For example:- 9,11 So, there HCF will be, 9=3×3×1 11= 11×1 HCF (9,11) = 1 Similarly all the consecutive odd numbers have 1 as their HCF. Cheers!! Find Math textbook solutions? Class 12 Class 11 Class 10 Class 9 …
Find the hcf of two consecutive odd numbers
Did you know?
WebMar 31, 2024 · Since, k and k+2 are odd, there are no common factors between the two. One can also understand it by trying to find H.C.F by repeated division method and get the HCF as 1. Complete step-by-step answer: To find the HCF of two consecutive numbers, k and k+2 we will use the method of repeated division. To find the H.C.F of two … WebHence, HCF of two consecutive even numbers is equal to 2. (c) When calculating the HCF of two consecutive odd numbers, the common factor is 1. Example: Consecutive odd numbers = 3, 5 The HCF of 3 and 5 is …
WebExplanation: Let's assume the two consecutive even numbers are '2k' and '2k+2'. Write the numbers in factored form: 2k = 2 × k. 2k+2 = 2 × (k+1) The highest common factor of the numbers '2k' and '2k+2' is 2. Consider two consecutive even numbers, 4 and 6. The HCF of 4 and 6 is 2. WebFeb 2, 2024 · Example of consecutive odd numbers: If the sum of two consecutive odd numbers is 228, find the numbers. Let the two consecutive odd numbers be x and x + 2. ∴ x + x + 2 = 228 2 x + 2 = 228 Subtracting 2 from both sides 2 x + 2 − 2 = 228 − 2 2 x = 226 Dividing both sides by 2 2 x 2 = 226 2 x = 113 So the two consecutive numbers are …
WebApr 27, 2024 · In between every two odd numbers there comes an even number. So, any two consecutive odd numbers can be anything. For example:- 9,11 So, there HCF will …
WebSep 12, 2024 · We can find the HCF of two numbers by the following steps, Consider two numbers “x” and “y”, where x > y. Step 1) Divide the larger number by the smaller one, …
WebThe HCF of two consecutive odd numbers is? A 1 B 2 C 0 D Non-existant Medium Solution Verified by Toppr Correct option is A) The most general form of an odd number is 2m+1 where m is an integer. Then the two consecutive odd numbers will be 2m+1 and 2m+3. So the HCF of two consecutive even numbers is 1. Was this answer helpful? 0 … office clothes wear maternityWeb(c) The HCF of two consecutive odd numbers is 1 Example: The HCF of 3 and 5 is 1 3. HCF of co-prime numbers 4 and 15 was found as follows by factorisation: 4 = 2 × 2 and 15 = 3 × 5 since there is no common prime factor, so HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF? Solutions: No. The answer is not correct. office clothes near meWebFeb 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. … my child has no friendsWebWhat is the HCF of two consecutive odd numbers? Easy Solution Verified by Toppr Let those numbers be 2n−1 and 2n+1. Then the equation n(2n−1)−(n−1)(2n+1)=1 holds … office clothes for women cheapWebThe least common multiple of two numbers is the “smallest non-zero common number” which is a multiple of both the numbers. Calculation: Let us take two consecutive odd numbers 3 and 5. So, L.C.M of 3 and 5 is 15. Which is the product of the consecutive odd number. ∴ The LCM of two consecutive odd numbers is their product office clothing brandsWebHence, HCF of two consecutive even numbers is equal to 2. (c) When calculating the HCF of two consecutive odd numbers, the common factor is 1. Example: Consecutive odd numbers = 3, 5 The HCF of 3 and 5 is … office clothing for women over 50WebMay 15, 2012 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators ... my child hasn\u0027t pooped in a week