Highest Common Factor of 2627, 5176 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 2627, 5176 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2627, 5176 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 2627, 5176 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 2627, 5176 is 1.
HCF(2627, 5176) = 1
HCF of 2627, 5176 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2627, 5176 is 1.
Highest Common Factor of 2627,5176 is 1
Step 1: Since 5176 > 2627, we apply the division lemma to 5176 and 2627, to get
5176 = 2627 x 1 + 2549
Step 2: Since the reminder 2627 ≠ 0, we apply division lemma to 2549 and 2627, to get
2627 = 2549 x 1 + 78
Step 3: We consider the new divisor 2549 and the new remainder 78, and apply the division lemma to get
2549 = 78 x 32 + 53
We consider the new divisor 78 and the new remainder 53,and apply the division lemma to get
78 = 53 x 1 + 25
We consider the new divisor 53 and the new remainder 25,and apply the division lemma to get
53 = 25 x 2 + 3
We consider the new divisor 25 and the new remainder 3,and apply the division lemma to get
25 = 3 x 8 + 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 2627 and 5176 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) = HCF(53,25) = HCF(78,53) = HCF(2549,78) = HCF(2627,2549) = HCF(5176,2627) .
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Frequently Asked Questions on HCF of 2627, 5176 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 2627, 5176?
Answer: HCF of 2627, 5176 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2627, 5176 using Euclid's Algorithm?
Answer: For arbitrary numbers 2627, 5176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.