WebWrite each number as a product of its prime factors. 2 2 x 3 x 5 = 60. 3 x 5 2 = 75. The product of all common prime factors is the HCF. The common prime factors in this example are 3 & 5. The lowest power of 3 is 3 and 5 is 5. So, HCF = 3 x 5 = 15. Example 2: Find the HCF of 36, 24 and 12. WebRecall that the HCF of two positive integers a and b is the largest positive integer d that divides both a and b. Let us see how the algorithm works, through an example first. Suppose we need to find the HCF of the integers 455 and …
HCF of 42 and 455 GCF of 42 and 455 - YouTube
WebGiven numbers are 455 and 42. Here, 455 > 42. So, we divide 455 by 42. By using Euclid’s division lemma, we get. 455 = 42 × 10 + 35. ... Since the divisor at this last stage is 7, the HCF of 455 and 42 is 7. ← Prev Question Next Question →. Find MCQs & Mock Test. JEE Main 2024 Test Series ... WebThe HCF of 40, 42 and 45 is 1. To calculate the highest common factor of 40, 42 and 45, we need to factor each number (factors of 40 = 1, 2, 4, 5, 8, 10, 20, 40; factors of 42 = 1, 2, … the analytical group
Using Euclid
WebApr 5, 2024 · Here, we apply the Euclid algorithm to find the HCF of 455 and 42. First, we can also write 445 as $42 \times 10 + 35$ After that, use the Euclid algorithm on 42 and 3. Again, we will apply the Euclid algorithm on 35 and 7. Finally, after solving this we will get the answer. Complete step by step solution: WebThe HCF of 455 and 42 using Euclid algorithm is A 7 B 6 C 5 D 4 Medium Solution Verified by Toppr Correct option is A) According to the definition of Euclid's theorem, a=b×q+r … WebLet us see how the algorithm works, through an example first. Suppose we need to find the HCF of the integers 455 and 42. We start with the larger integer, that is, 455. ... Then we use Euclid’s lemma to get. 455 =42 × 10 + 35 Now consider the divisor 42 and the remainder 35, and apply the division lemma to get 42 =35 × 1 + 7 Now consider ... the analytical engine weaves alg