Highest Common Factor of 8651, 6172 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 8651, 6172 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8651, 6172 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 8651, 6172 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 8651, 6172 is 1.
HCF(8651, 6172) = 1
HCF of 8651, 6172 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8651, 6172 is 1.
Highest Common Factor of 8651,6172 is 1
Step 1: Since 8651 > 6172, we apply the division lemma to 8651 and 6172, to get
8651 = 6172 x 1 + 2479
Step 2: Since the reminder 6172 ≠ 0, we apply division lemma to 2479 and 6172, to get
6172 = 2479 x 2 + 1214
Step 3: We consider the new divisor 2479 and the new remainder 1214, and apply the division lemma to get
2479 = 1214 x 2 + 51
We consider the new divisor 1214 and the new remainder 51,and apply the division lemma to get
1214 = 51 x 23 + 41
We consider the new divisor 51 and the new remainder 41,and apply the division lemma to get
51 = 41 x 1 + 10
We consider the new divisor 41 and the new remainder 10,and apply the division lemma to get
41 = 10 x 4 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8651 and 6172 is 1
Notice that 1 = HCF(10,1) = HCF(41,10) = HCF(51,41) = HCF(1214,51) = HCF(2479,1214) = HCF(6172,2479) = HCF(8651,6172) .
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Frequently Asked Questions on HCF of 8651, 6172 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 8651, 6172?
Answer: HCF of 8651, 6172 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8651, 6172 using Euclid's Algorithm?
Answer: For arbitrary numbers 8651, 6172 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
