Highest Common Factor of 781, 497 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 781, 497 i.e. 71 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 497 is 71 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 781, 497 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 = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 781, 497 is 71.
HCF(781, 497) = 71
HCF of 781, 497 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 781, 497 is 71.
Highest Common Factor of 781,497 is 71
Step 1: Since 781 > 497, we apply the division lemma to 781 and 497, to get
781 = 497 x 1 + 284
Step 2: Since the reminder 497 ≠ 0, we apply division lemma to 284 and 497, to get
497 = 284 x 1 + 213
Step 3: We consider the new divisor 284 and the new remainder 213, and apply the division lemma to get
284 = 213 x 1 + 71
We consider the new divisor 213 and the new remainder 71, and apply the division lemma to get
213 = 71 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 71, the HCF of 781 and 497 is 71
Notice that 71 = HCF(213,71) = HCF(284,213) = HCF(497,284) = HCF(781,497) .
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Frequently Asked Questions on HCF of 781, 497 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 781, 497?
Answer: HCF of 781, 497 is 71 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 497 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 497 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.