WebDec 7, 2024 · The HCF of two numbers is 21 and their LCM is 4641. If one of the numbers is between 200 and 300, find the other number? Product of 2 numbers = HCF * LCM. N1 * N2 = 21 * 4641. Since its given that one of the number is between 200 and 300, lets try to prime factorize 21 and 4641 . 4641 = 21 * 221 = 21 * 13 *17. WebMar 14, 2024 · GCD (Greatest Common Divisor) or HCF (Highest Common Factor) of two numbers is the largest number that divides both of them. For example, GCD of 20 and 28 is 4 and GCD of 98 and 56 is 14. A simple and old approach is the Euclidean algorithm by subtraction. It is a process of repeat subtraction, carrying the result forward each time …
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Web21 = 5 x 4 + 1. Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get. 5 = 1 x 5 + 0. The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 21 and 26 is 1. Notice that 1 = HCF (5,1) = HCF (21,5) = HCF (26,21) . Web15 = 6 x 2 + 3. Step 3: We consider the new divisor 6 and the new remainder 3, and apply the division lemma to get. 6 = 3 x 2 + 0. The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 15 and 21 is 3. Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(21,15) . linear equation class 9 ncert exemplar pdf
HCF of 15, 21 using Euclid
WebExample 1: Two simple composite numbers. Calculate the highest common factor of 18 and 24. State the product of prime factors for each number, not in index form. 18 = 2 × 3 × 3. 24 = 2 × 2 × 2 × 3. 2 Write all the prime factors into the Venn diagram for each number. 3 Multiply the prime factors in the intersection to find the HCF. WebApr 7, 2024 · Question Text. 2. Find the LCM and HCF of the following pairs of integers and verily that LCM ×HCF= product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54 3. Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12,15 and 21 (ii) 17.23 and 29 (iii) 8.9 and 25 4. WebFor two integers ie., a, b the HCF is indicated as HCF (a,b). For example, if you take two numbers ie., 54 and 60 then the Highest Common Factor of numbers is the 6 ie., the largest integer that exactly divided the two … linear equation corbett maths