Highest Common Factor of 6534, 9227, 79731 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 6534, 9227, 79731 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6534, 9227, 79731 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 6534, 9227, 79731 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 6534, 9227, 79731 is 1.

HCF(6534, 9227, 79731) = 1

HCF of 6534, 9227, 79731 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 6534, 9227, 79731 is 1.

Highest Common Factor of 6534,9227,79731 using Euclid's algorithm

Highest Common Factor of 6534,9227,79731 is 1

Step 1: Since 9227 > 6534, we apply the division lemma to 9227 and 6534, to get

9227 = 6534 x 1 + 2693

Step 2: Since the reminder 6534 ≠ 0, we apply division lemma to 2693 and 6534, to get

6534 = 2693 x 2 + 1148

Step 3: We consider the new divisor 2693 and the new remainder 1148, and apply the division lemma to get

2693 = 1148 x 2 + 397

We consider the new divisor 1148 and the new remainder 397,and apply the division lemma to get

1148 = 397 x 2 + 354

We consider the new divisor 397 and the new remainder 354,and apply the division lemma to get

397 = 354 x 1 + 43

We consider the new divisor 354 and the new remainder 43,and apply the division lemma to get

354 = 43 x 8 + 10

We consider the new divisor 43 and the new remainder 10,and apply the division lemma to get

43 = 10 x 4 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6534 and 9227 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(43,10) = HCF(354,43) = HCF(397,354) = HCF(1148,397) = HCF(2693,1148) = HCF(6534,2693) = HCF(9227,6534) .

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

Step 1: Since 79731 > 1, we apply the division lemma to 79731 and 1, to get

79731 = 1 x 79731 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 79731 is 1

Notice that 1 = HCF(79731,1) .

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Frequently Asked Questions on HCF of 6534, 9227, 79731 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 6534, 9227, 79731?

Answer: HCF of 6534, 9227, 79731 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6534, 9227, 79731 using Euclid's Algorithm?

Answer: For arbitrary numbers 6534, 9227, 79731 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.