Highest Common Factor of 5164, 7657 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 5164, 7657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5164, 7657 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 5164, 7657 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 5164, 7657 is 1.
HCF(5164, 7657) = 1
HCF of 5164, 7657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5164, 7657 is 1.
Highest Common Factor of 5164,7657 is 1
Step 1: Since 7657 > 5164, we apply the division lemma to 7657 and 5164, to get
7657 = 5164 x 1 + 2493
Step 2: Since the reminder 5164 ≠ 0, we apply division lemma to 2493 and 5164, to get
5164 = 2493 x 2 + 178
Step 3: We consider the new divisor 2493 and the new remainder 178, and apply the division lemma to get
2493 = 178 x 14 + 1
We consider the new divisor 178 and the new remainder 1, and apply the division lemma to get
178 = 1 x 178 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5164 and 7657 is 1
Notice that 1 = HCF(178,1) = HCF(2493,178) = HCF(5164,2493) = HCF(7657,5164) .
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Frequently Asked Questions on HCF of 5164, 7657 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 5164, 7657?
Answer: HCF of 5164, 7657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5164, 7657 using Euclid's Algorithm?
Answer: For arbitrary numbers 5164, 7657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.