Highest Common Factor of 2631, 9344 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 2631, 9344 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2631, 9344 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 2631, 9344 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 2631, 9344 is 1.
HCF(2631, 9344) = 1
HCF of 2631, 9344 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2631, 9344 is 1.
Highest Common Factor of 2631,9344 is 1
Step 1: Since 9344 > 2631, we apply the division lemma to 9344 and 2631, to get
9344 = 2631 x 3 + 1451
Step 2: Since the reminder 2631 ≠ 0, we apply division lemma to 1451 and 2631, to get
2631 = 1451 x 1 + 1180
Step 3: We consider the new divisor 1451 and the new remainder 1180, and apply the division lemma to get
1451 = 1180 x 1 + 271
We consider the new divisor 1180 and the new remainder 271,and apply the division lemma to get
1180 = 271 x 4 + 96
We consider the new divisor 271 and the new remainder 96,and apply the division lemma to get
271 = 96 x 2 + 79
We consider the new divisor 96 and the new remainder 79,and apply the division lemma to get
96 = 79 x 1 + 17
We consider the new divisor 79 and the new remainder 17,and apply the division lemma to get
79 = 17 x 4 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2631 and 9344 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(79,17) = HCF(96,79) = HCF(271,96) = HCF(1180,271) = HCF(1451,1180) = HCF(2631,1451) = HCF(9344,2631) .
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Frequently Asked Questions on HCF of 2631, 9344 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 2631, 9344?
Answer: HCF of 2631, 9344 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2631, 9344 using Euclid's Algorithm?
Answer: For arbitrary numbers 2631, 9344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.