Highest Common Factor of 3157, 5628 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 3157, 5628 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 3157, 5628 is 7 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 3157, 5628 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 3157, 5628 is 7.
HCF(3157, 5628) = 7
HCF of 3157, 5628 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3157, 5628 is 7.
Highest Common Factor of 3157,5628 is 7
Step 1: Since 5628 > 3157, we apply the division lemma to 5628 and 3157, to get
5628 = 3157 x 1 + 2471
Step 2: Since the reminder 3157 ≠ 0, we apply division lemma to 2471 and 3157, to get
3157 = 2471 x 1 + 686
Step 3: We consider the new divisor 2471 and the new remainder 686, and apply the division lemma to get
2471 = 686 x 3 + 413
We consider the new divisor 686 and the new remainder 413,and apply the division lemma to get
686 = 413 x 1 + 273
We consider the new divisor 413 and the new remainder 273,and apply the division lemma to get
413 = 273 x 1 + 140
We consider the new divisor 273 and the new remainder 140,and apply the division lemma to get
273 = 140 x 1 + 133
We consider the new divisor 140 and the new remainder 133,and apply the division lemma to get
140 = 133 x 1 + 7
We consider the new divisor 133 and the new remainder 7,and apply the division lemma to get
133 = 7 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3157 and 5628 is 7
Notice that 7 = HCF(133,7) = HCF(140,133) = HCF(273,140) = HCF(413,273) = HCF(686,413) = HCF(2471,686) = HCF(3157,2471) = HCF(5628,3157) .
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Frequently Asked Questions on HCF of 3157, 5628 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 3157, 5628?
Answer: HCF of 3157, 5628 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3157, 5628 using Euclid's Algorithm?
Answer: For arbitrary numbers 3157, 5628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.