Highest Common Factor of 4671, 2657 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 4671, 2657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4671, 2657 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 4671, 2657 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 4671, 2657 is 1.
HCF(4671, 2657) = 1
HCF of 4671, 2657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4671, 2657 is 1.
Highest Common Factor of 4671,2657 is 1
Step 1: Since 4671 > 2657, we apply the division lemma to 4671 and 2657, to get
4671 = 2657 x 1 + 2014
Step 2: Since the reminder 2657 ≠ 0, we apply division lemma to 2014 and 2657, to get
2657 = 2014 x 1 + 643
Step 3: We consider the new divisor 2014 and the new remainder 643, and apply the division lemma to get
2014 = 643 x 3 + 85
We consider the new divisor 643 and the new remainder 85,and apply the division lemma to get
643 = 85 x 7 + 48
We consider the new divisor 85 and the new remainder 48,and apply the division lemma to get
85 = 48 x 1 + 37
We consider the new divisor 48 and the new remainder 37,and apply the division lemma to get
48 = 37 x 1 + 11
We consider the new divisor 37 and the new remainder 11,and apply the division lemma to get
37 = 11 x 3 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 4671 and 2657 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(37,11) = HCF(48,37) = HCF(85,48) = HCF(643,85) = HCF(2014,643) = HCF(2657,2014) = HCF(4671,2657) .
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Frequently Asked Questions on HCF of 4671, 2657 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 4671, 2657?
Answer: HCF of 4671, 2657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4671, 2657 using Euclid's Algorithm?
Answer: For arbitrary numbers 4671, 2657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.