Highest Common Factor of 976, 3637 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 976, 3637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 3637 is 1 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 976, 3637 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 976, 3637 is 1.
HCF(976, 3637) = 1
HCF of 976, 3637 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 976, 3637 is 1.
Highest Common Factor of 976,3637 is 1
Step 1: Since 3637 > 976, we apply the division lemma to 3637 and 976, to get
3637 = 976 x 3 + 709
Step 2: Since the reminder 976 ≠ 0, we apply division lemma to 709 and 976, to get
976 = 709 x 1 + 267
Step 3: We consider the new divisor 709 and the new remainder 267, and apply the division lemma to get
709 = 267 x 2 + 175
We consider the new divisor 267 and the new remainder 175,and apply the division lemma to get
267 = 175 x 1 + 92
We consider the new divisor 175 and the new remainder 92,and apply the division lemma to get
175 = 92 x 1 + 83
We consider the new divisor 92 and the new remainder 83,and apply the division lemma to get
92 = 83 x 1 + 9
We consider the new divisor 83 and the new remainder 9,and apply the division lemma to get
83 = 9 x 9 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 976 and 3637 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(83,9) = HCF(92,83) = HCF(175,92) = HCF(267,175) = HCF(709,267) = HCF(976,709) = HCF(3637,976) .
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Frequently Asked Questions on HCF of 976, 3637 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 976, 3637?
Answer: HCF of 976, 3637 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 3637 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 3637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.