Highest Common Factor of 9611, 6195 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 9611, 6195 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9611, 6195 is 7 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 9611, 6195 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 9611, 6195 is 7.
HCF(9611, 6195) = 7
HCF of 9611, 6195 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9611, 6195 is 7.
Highest Common Factor of 9611,6195 is 7
Step 1: Since 9611 > 6195, we apply the division lemma to 9611 and 6195, to get
9611 = 6195 x 1 + 3416
Step 2: Since the reminder 6195 ≠ 0, we apply division lemma to 3416 and 6195, to get
6195 = 3416 x 1 + 2779
Step 3: We consider the new divisor 3416 and the new remainder 2779, and apply the division lemma to get
3416 = 2779 x 1 + 637
We consider the new divisor 2779 and the new remainder 637,and apply the division lemma to get
2779 = 637 x 4 + 231
We consider the new divisor 637 and the new remainder 231,and apply the division lemma to get
637 = 231 x 2 + 175
We consider the new divisor 231 and the new remainder 175,and apply the division lemma to get
231 = 175 x 1 + 56
We consider the new divisor 175 and the new remainder 56,and apply the division lemma to get
175 = 56 x 3 + 7
We consider the new divisor 56 and the new remainder 7,and apply the division lemma to get
56 = 7 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9611 and 6195 is 7
Notice that 7 = HCF(56,7) = HCF(175,56) = HCF(231,175) = HCF(637,231) = HCF(2779,637) = HCF(3416,2779) = HCF(6195,3416) = HCF(9611,6195) .
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Frequently Asked Questions on HCF of 9611, 6195 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 9611, 6195?
Answer: HCF of 9611, 6195 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9611, 6195 using Euclid's Algorithm?
Answer: For arbitrary numbers 9611, 6195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.