Highest Common Factor of 8713, 9653 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 8713, 9653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8713, 9653 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 8713, 9653 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 8713, 9653 is 1.
HCF(8713, 9653) = 1
HCF of 8713, 9653 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8713, 9653 is 1.
Highest Common Factor of 8713,9653 is 1
Step 1: Since 9653 > 8713, we apply the division lemma to 9653 and 8713, to get
9653 = 8713 x 1 + 940
Step 2: Since the reminder 8713 ≠ 0, we apply division lemma to 940 and 8713, to get
8713 = 940 x 9 + 253
Step 3: We consider the new divisor 940 and the new remainder 253, and apply the division lemma to get
940 = 253 x 3 + 181
We consider the new divisor 253 and the new remainder 181,and apply the division lemma to get
253 = 181 x 1 + 72
We consider the new divisor 181 and the new remainder 72,and apply the division lemma to get
181 = 72 x 2 + 37
We consider the new divisor 72 and the new remainder 37,and apply the division lemma to get
72 = 37 x 1 + 35
We consider the new divisor 37 and the new remainder 35,and apply the division lemma to get
37 = 35 x 1 + 2
We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get
35 = 2 x 17 + 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 8713 and 9653 is 1
Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(37,35) = HCF(72,37) = HCF(181,72) = HCF(253,181) = HCF(940,253) = HCF(8713,940) = HCF(9653,8713) .
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Frequently Asked Questions on HCF of 8713, 9653 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 8713, 9653?
Answer: HCF of 8713, 9653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8713, 9653 using Euclid's Algorithm?
Answer: For arbitrary numbers 8713, 9653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
