Highest Common Factor of 9161, 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 9161, 6627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9161, 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 9161, 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 9161, 6627 is 1.

HCF(9161, 6627) = 1

HCF of 9161, 6627 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 9161, 6627 is 1.

Highest Common Factor of 9161,6627 using Euclid's algorithm

Highest Common Factor of 9161,6627 is 1

Step 1: Since 9161 > 6627, we apply the division lemma to 9161 and 6627, to get

9161 = 6627 x 1 + 2534

Step 2: Since the reminder 6627 ≠ 0, we apply division lemma to 2534 and 6627, to get

6627 = 2534 x 2 + 1559

Step 3: We consider the new divisor 2534 and the new remainder 1559, and apply the division lemma to get

2534 = 1559 x 1 + 975

We consider the new divisor 1559 and the new remainder 975,and apply the division lemma to get

1559 = 975 x 1 + 584

We consider the new divisor 975 and the new remainder 584,and apply the division lemma to get

975 = 584 x 1 + 391

We consider the new divisor 584 and the new remainder 391,and apply the division lemma to get

584 = 391 x 1 + 193

We consider the new divisor 391 and the new remainder 193,and apply the division lemma to get

391 = 193 x 2 + 5

We consider the new divisor 193 and the new remainder 5,and apply the division lemma to get

193 = 5 x 38 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 9161 and 6627 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(193,5) = HCF(391,193) = HCF(584,391) = HCF(975,584) = HCF(1559,975) = HCF(2534,1559) = HCF(6627,2534) = HCF(9161,6627) .

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Frequently Asked Questions on HCF of 9161, 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 9161, 6627?

Answer: HCF of 9161, 6627 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9161, 6627 using Euclid's Algorithm?

Answer: For arbitrary numbers 9161, 6627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.