Highest Common Factor of 6627, 9757 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 6627, 9757 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6627, 9757 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 6627, 9757 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 6627, 9757 is 1.
HCF(6627, 9757) = 1
HCF of 6627, 9757 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6627, 9757 is 1.
Highest Common Factor of 6627,9757 is 1
Step 1: Since 9757 > 6627, we apply the division lemma to 9757 and 6627, to get
9757 = 6627 x 1 + 3130
Step 2: Since the reminder 6627 ≠ 0, we apply division lemma to 3130 and 6627, to get
6627 = 3130 x 2 + 367
Step 3: We consider the new divisor 3130 and the new remainder 367, and apply the division lemma to get
3130 = 367 x 8 + 194
We consider the new divisor 367 and the new remainder 194,and apply the division lemma to get
367 = 194 x 1 + 173
We consider the new divisor 194 and the new remainder 173,and apply the division lemma to get
194 = 173 x 1 + 21
We consider the new divisor 173 and the new remainder 21,and apply the division lemma to get
173 = 21 x 8 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 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 6627 and 9757 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(173,21) = HCF(194,173) = HCF(367,194) = HCF(3130,367) = HCF(6627,3130) = HCF(9757,6627) .
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Frequently Asked Questions on HCF of 6627, 9757 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 6627, 9757?
Answer: HCF of 6627, 9757 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6627, 9757 using Euclid's Algorithm?
Answer: For arbitrary numbers 6627, 9757 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.