Highest Common Factor of 7629, 6547 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 7629, 6547 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7629, 6547 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 7629, 6547 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 7629, 6547 is 1.
HCF(7629, 6547) = 1
HCF of 7629, 6547 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7629, 6547 is 1.
Highest Common Factor of 7629,6547 is 1
Step 1: Since 7629 > 6547, we apply the division lemma to 7629 and 6547, to get
7629 = 6547 x 1 + 1082
Step 2: Since the reminder 6547 ≠ 0, we apply division lemma to 1082 and 6547, to get
6547 = 1082 x 6 + 55
Step 3: We consider the new divisor 1082 and the new remainder 55, and apply the division lemma to get
1082 = 55 x 19 + 37
We consider the new divisor 55 and the new remainder 37,and apply the division lemma to get
55 = 37 x 1 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7629 and 6547 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(55,37) = HCF(1082,55) = HCF(6547,1082) = HCF(7629,6547) .
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Frequently Asked Questions on HCF of 7629, 6547 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 7629, 6547?
Answer: HCF of 7629, 6547 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7629, 6547 using Euclid's Algorithm?
Answer: For arbitrary numbers 7629, 6547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.