Highest Common Factor of 656, 79732 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 656, 79732 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 656, 79732 is 4 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 656, 79732 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 656, 79732 is 4.
HCF(656, 79732) = 4
HCF of 656, 79732 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 656, 79732 is 4.
Highest Common Factor of 656,79732 is 4
Step 1: Since 79732 > 656, we apply the division lemma to 79732 and 656, to get
79732 = 656 x 121 + 356
Step 2: Since the reminder 656 ≠ 0, we apply division lemma to 356 and 656, to get
656 = 356 x 1 + 300
Step 3: We consider the new divisor 356 and the new remainder 300, and apply the division lemma to get
356 = 300 x 1 + 56
We consider the new divisor 300 and the new remainder 56,and apply the division lemma to get
300 = 56 x 5 + 20
We consider the new divisor 56 and the new remainder 20,and apply the division lemma to get
56 = 20 x 2 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 656 and 79732 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(56,20) = HCF(300,56) = HCF(356,300) = HCF(656,356) = HCF(79732,656) .
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Frequently Asked Questions on HCF of 656, 79732 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 656, 79732?
Answer: HCF of 656, 79732 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 656, 79732 using Euclid's Algorithm?
Answer: For arbitrary numbers 656, 79732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.