Highest Common Factor of 7892, 6627 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 7892, 6627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7892, 6627 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 7892, 6627 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 7892, 6627 is 1.
HCF(7892, 6627) = 1
HCF of 7892, 6627 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7892, 6627 is 1.
Highest Common Factor of 7892,6627 is 1
Step 1: Since 7892 > 6627, we apply the division lemma to 7892 and 6627, to get
7892 = 6627 x 1 + 1265
Step 2: Since the reminder 6627 ≠ 0, we apply division lemma to 1265 and 6627, to get
6627 = 1265 x 5 + 302
Step 3: We consider the new divisor 1265 and the new remainder 302, and apply the division lemma to get
1265 = 302 x 4 + 57
We consider the new divisor 302 and the new remainder 57,and apply the division lemma to get
302 = 57 x 5 + 17
We consider the new divisor 57 and the new remainder 17,and apply the division lemma to get
57 = 17 x 3 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7892 and 6627 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(57,17) = HCF(302,57) = HCF(1265,302) = HCF(6627,1265) = HCF(7892,6627) .
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Frequently Asked Questions on HCF of 7892, 6627 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 7892, 6627?
Answer: HCF of 7892, 6627 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7892, 6627 using Euclid's Algorithm?
Answer: For arbitrary numbers 7892, 6627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.