Highest Common Factor of 9126, 6160, 53089 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 9126, 6160, 53089 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9126, 6160, 53089 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 9126, 6160, 53089 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 9126, 6160, 53089 is 1.

HCF(9126, 6160, 53089) = 1

HCF of 9126, 6160, 53089 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 9126, 6160, 53089 is 1.

Highest Common Factor of 9126,6160,53089 using Euclid's algorithm

Highest Common Factor of 9126,6160,53089 is 1

Step 1: Since 9126 > 6160, we apply the division lemma to 9126 and 6160, to get

9126 = 6160 x 1 + 2966

Step 2: Since the reminder 6160 ≠ 0, we apply division lemma to 2966 and 6160, to get

6160 = 2966 x 2 + 228

Step 3: We consider the new divisor 2966 and the new remainder 228, and apply the division lemma to get

2966 = 228 x 13 + 2

We consider the new divisor 228 and the new remainder 2, and apply the division lemma to get

228 = 2 x 114 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9126 and 6160 is 2

Notice that 2 = HCF(228,2) = HCF(2966,228) = HCF(6160,2966) = HCF(9126,6160) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 53089 > 2, we apply the division lemma to 53089 and 2, to get

53089 = 2 x 26544 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 53089 is 1

Notice that 1 = HCF(2,1) = HCF(53089,2) .

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Frequently Asked Questions on HCF of 9126, 6160, 53089 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 9126, 6160, 53089?

Answer: HCF of 9126, 6160, 53089 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9126, 6160, 53089 using Euclid's Algorithm?

Answer: For arbitrary numbers 9126, 6160, 53089 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.