Highest Common Factor of 8647, 6952 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 8647, 6952 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8647, 6952 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 8647, 6952 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 8647, 6952 is 1.
HCF(8647, 6952) = 1
HCF of 8647, 6952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8647, 6952 is 1.
Highest Common Factor of 8647,6952 is 1
Step 1: Since 8647 > 6952, we apply the division lemma to 8647 and 6952, to get
8647 = 6952 x 1 + 1695
Step 2: Since the reminder 6952 ≠ 0, we apply division lemma to 1695 and 6952, to get
6952 = 1695 x 4 + 172
Step 3: We consider the new divisor 1695 and the new remainder 172, and apply the division lemma to get
1695 = 172 x 9 + 147
We consider the new divisor 172 and the new remainder 147,and apply the division lemma to get
172 = 147 x 1 + 25
We consider the new divisor 147 and the new remainder 25,and apply the division lemma to get
147 = 25 x 5 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8647 and 6952 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(147,25) = HCF(172,147) = HCF(1695,172) = HCF(6952,1695) = HCF(8647,6952) .
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Frequently Asked Questions on HCF of 8647, 6952 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 8647, 6952?
Answer: HCF of 8647, 6952 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8647, 6952 using Euclid's Algorithm?
Answer: For arbitrary numbers 8647, 6952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.