Highest Common Factor of 3057, 8657 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 3057, 8657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3057, 8657 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 3057, 8657 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 3057, 8657 is 1.
HCF(3057, 8657) = 1
HCF of 3057, 8657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3057, 8657 is 1.
Highest Common Factor of 3057,8657 is 1
Step 1: Since 8657 > 3057, we apply the division lemma to 8657 and 3057, to get
8657 = 3057 x 2 + 2543
Step 2: Since the reminder 3057 ≠ 0, we apply division lemma to 2543 and 3057, to get
3057 = 2543 x 1 + 514
Step 3: We consider the new divisor 2543 and the new remainder 514, and apply the division lemma to get
2543 = 514 x 4 + 487
We consider the new divisor 514 and the new remainder 487,and apply the division lemma to get
514 = 487 x 1 + 27
We consider the new divisor 487 and the new remainder 27,and apply the division lemma to get
487 = 27 x 18 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3057 and 8657 is 1
Notice that 1 = HCF(27,1) = HCF(487,27) = HCF(514,487) = HCF(2543,514) = HCF(3057,2543) = HCF(8657,3057) .
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Frequently Asked Questions on HCF of 3057, 8657 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 3057, 8657?
Answer: HCF of 3057, 8657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3057, 8657 using Euclid's Algorithm?
Answer: For arbitrary numbers 3057, 8657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.