Highest Common Factor of 9621, 6130 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 9621, 6130 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9621, 6130 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 9621, 6130 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 9621, 6130 is 1.
HCF(9621, 6130) = 1
HCF of 9621, 6130 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9621, 6130 is 1.
Highest Common Factor of 9621,6130 is 1
Step 1: Since 9621 > 6130, we apply the division lemma to 9621 and 6130, to get
9621 = 6130 x 1 + 3491
Step 2: Since the reminder 6130 ≠ 0, we apply division lemma to 3491 and 6130, to get
6130 = 3491 x 1 + 2639
Step 3: We consider the new divisor 3491 and the new remainder 2639, and apply the division lemma to get
3491 = 2639 x 1 + 852
We consider the new divisor 2639 and the new remainder 852,and apply the division lemma to get
2639 = 852 x 3 + 83
We consider the new divisor 852 and the new remainder 83,and apply the division lemma to get
852 = 83 x 10 + 22
We consider the new divisor 83 and the new remainder 22,and apply the division lemma to get
83 = 22 x 3 + 17
We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get
22 = 17 x 1 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 9621 and 6130 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(83,22) = HCF(852,83) = HCF(2639,852) = HCF(3491,2639) = HCF(6130,3491) = HCF(9621,6130) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9621, 6130 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 9621, 6130?
Answer: HCF of 9621, 6130 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9621, 6130 using Euclid's Algorithm?
Answer: For arbitrary numbers 9621, 6130 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.