Highest Common Factor of 5143, 7637 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 5143, 7637 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5143, 7637 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 5143, 7637 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 5143, 7637 is 1.
HCF(5143, 7637) = 1
HCF of 5143, 7637 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5143, 7637 is 1.
Highest Common Factor of 5143,7637 is 1
Step 1: Since 7637 > 5143, we apply the division lemma to 7637 and 5143, to get
7637 = 5143 x 1 + 2494
Step 2: Since the reminder 5143 ≠ 0, we apply division lemma to 2494 and 5143, to get
5143 = 2494 x 2 + 155
Step 3: We consider the new divisor 2494 and the new remainder 155, and apply the division lemma to get
2494 = 155 x 16 + 14
We consider the new divisor 155 and the new remainder 14,and apply the division lemma to get
155 = 14 x 11 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5143 and 7637 is 1
Notice that 1 = HCF(14,1) = HCF(155,14) = HCF(2494,155) = HCF(5143,2494) = HCF(7637,5143) .
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Frequently Asked Questions on HCF of 5143, 7637 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 5143, 7637?
Answer: HCF of 5143, 7637 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5143, 7637 using Euclid's Algorithm?
Answer: For arbitrary numbers 5143, 7637 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.