Highest Common Factor of 6657, 5347 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 6657, 5347 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6657, 5347 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 6657, 5347 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 6657, 5347 is 1.
HCF(6657, 5347) = 1
HCF of 6657, 5347 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6657, 5347 is 1.
Highest Common Factor of 6657,5347 is 1
Step 1: Since 6657 > 5347, we apply the division lemma to 6657 and 5347, to get
6657 = 5347 x 1 + 1310
Step 2: Since the reminder 5347 ≠ 0, we apply division lemma to 1310 and 5347, to get
5347 = 1310 x 4 + 107
Step 3: We consider the new divisor 1310 and the new remainder 107, and apply the division lemma to get
1310 = 107 x 12 + 26
We consider the new divisor 107 and the new remainder 26,and apply the division lemma to get
107 = 26 x 4 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6657 and 5347 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(107,26) = HCF(1310,107) = HCF(5347,1310) = HCF(6657,5347) .
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Frequently Asked Questions on HCF of 6657, 5347 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 6657, 5347?
Answer: HCF of 6657, 5347 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6657, 5347 using Euclid's Algorithm?
Answer: For arbitrary numbers 6657, 5347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.