Highest Common Factor of 9610, 5316 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 9610, 5316 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9610, 5316 is 2 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 9610, 5316 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 9610, 5316 is 2.
HCF(9610, 5316) = 2
HCF of 9610, 5316 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9610, 5316 is 2.
Highest Common Factor of 9610,5316 is 2
Step 1: Since 9610 > 5316, we apply the division lemma to 9610 and 5316, to get
9610 = 5316 x 1 + 4294
Step 2: Since the reminder 5316 ≠ 0, we apply division lemma to 4294 and 5316, to get
5316 = 4294 x 1 + 1022
Step 3: We consider the new divisor 4294 and the new remainder 1022, and apply the division lemma to get
4294 = 1022 x 4 + 206
We consider the new divisor 1022 and the new remainder 206,and apply the division lemma to get
1022 = 206 x 4 + 198
We consider the new divisor 206 and the new remainder 198,and apply the division lemma to get
206 = 198 x 1 + 8
We consider the new divisor 198 and the new remainder 8,and apply the division lemma to get
198 = 8 x 24 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9610 and 5316 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(198,8) = HCF(206,198) = HCF(1022,206) = HCF(4294,1022) = HCF(5316,4294) = HCF(9610,5316) .
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Frequently Asked Questions on HCF of 9610, 5316 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 9610, 5316?
Answer: HCF of 9610, 5316 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9610, 5316 using Euclid's Algorithm?
Answer: For arbitrary numbers 9610, 5316 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.