WebMar 14, 2024 · Example 1: Find the HCF of 867 and 255. Solution: 867 and 255 are the given integers. When we compare, we see that 867 > 255. We get 867 = 225 x 3 + 192 by applying Euclid’s division lemma to 867 and 225. Because the remainder is 192, So we divide 225 by the division lemma and get the remainder. We get, 225 = 192 x 1 + 33 WebFind the HCF of 867 and 255 using Euclid theorem. A 50 B 51 C 52 D 53 Medium Solution Verified by Toppr Correct option is B) The given numbers are 867 and 255 According to …
Use Euclid’s division algorithm to find the HCF of: 867 and 255
WebAnswers (1) 867 > 225. Applying Euclid's Division algorithm we get. since remainder 0 we apply the algorithm again. since 255 > 102. since remainder 0 we apply the algorithm again. since 102 > 51. since remainder = 0 we conclude the HCF of 867 and 255 is 51. Posted by. WebApr 5, 2024 · So, the HCF of 867 and 255 is 51. Thus, HCF of 867 and 255 is 51. Note: Highest common factor (HCF) or Greatest common factor (GCD) of two numbers is the largest number that divides both of them. If we have positive integers on dividing both 867 and 255 by 51, then our answer is correct otherwise it is wrong. Best courses for you homes for sale in redwood shores ca
Use Euclid’s division algorithm to find the HCF of : 867 and 255
Web867 is greater than 225 and on applying Euclid’s division lemma to 867and 225, we get 867 = (255 × 3) + 102 Since the remainder r ≠ 0, we apply the division lemma to 225 and 102 to get 255 = (102 × 2) + 51 Again, the remainder is not zero, we apply Euclid’s division lemma to 102 and 51 which gives us 102 = (51 × 2) + 0 WebTo find the HCF of 135 and 255, we will find the prime factorisation of the given numbers, i.e. 135 = 3 × 3 × 3 × 5; 255 = 3 × 5 × 17. ⇒ Since 3 and 5 are common factors in the prime factorisation of 135 and 255. HCF (135, 255) = 3 × 5 = 15 What are the methods to find the HCF of 135 and 255? WebConsider we have numbers 867, 255 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a … hiram jackson michigan chronicle