Highest Common Factor of 8657, 3620 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 8657, 3620 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8657, 3620 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 8657, 3620 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 8657, 3620 is 1.
HCF(8657, 3620) = 1
HCF of 8657, 3620 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8657, 3620 is 1.
Highest Common Factor of 8657,3620 is 1
Step 1: Since 8657 > 3620, we apply the division lemma to 8657 and 3620, to get
8657 = 3620 x 2 + 1417
Step 2: Since the reminder 3620 ≠ 0, we apply division lemma to 1417 and 3620, to get
3620 = 1417 x 2 + 786
Step 3: We consider the new divisor 1417 and the new remainder 786, and apply the division lemma to get
1417 = 786 x 1 + 631
We consider the new divisor 786 and the new remainder 631,and apply the division lemma to get
786 = 631 x 1 + 155
We consider the new divisor 631 and the new remainder 155,and apply the division lemma to get
631 = 155 x 4 + 11
We consider the new divisor 155 and the new remainder 11,and apply the division lemma to get
155 = 11 x 14 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8657 and 3620 is 1
Notice that 1 = HCF(11,1) = HCF(155,11) = HCF(631,155) = HCF(786,631) = HCF(1417,786) = HCF(3620,1417) = HCF(8657,3620) .
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Frequently Asked Questions on HCF of 8657, 3620 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 8657, 3620?
Answer: HCF of 8657, 3620 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8657, 3620 using Euclid's Algorithm?
Answer: For arbitrary numbers 8657, 3620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.