Highest Common Factor of 9792, 6737 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 9792, 6737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9792, 6737 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 9792, 6737 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 9792, 6737 is 1.

HCF(9792, 6737) = 1

HCF of 9792, 6737 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 9792, 6737 is 1.

Highest Common Factor of 9792,6737 using Euclid's algorithm

Highest Common Factor of 9792,6737 is 1

Step 1: Since 9792 > 6737, we apply the division lemma to 9792 and 6737, to get

9792 = 6737 x 1 + 3055

Step 2: Since the reminder 6737 ≠ 0, we apply division lemma to 3055 and 6737, to get

6737 = 3055 x 2 + 627

Step 3: We consider the new divisor 3055 and the new remainder 627, and apply the division lemma to get

3055 = 627 x 4 + 547

We consider the new divisor 627 and the new remainder 547,and apply the division lemma to get

627 = 547 x 1 + 80

We consider the new divisor 547 and the new remainder 80,and apply the division lemma to get

547 = 80 x 6 + 67

We consider the new divisor 80 and the new remainder 67,and apply the division lemma to get

80 = 67 x 1 + 13

We consider the new divisor 67 and the new remainder 13,and apply the division lemma to get

67 = 13 x 5 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 9792 and 6737 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(67,13) = HCF(80,67) = HCF(547,80) = HCF(627,547) = HCF(3055,627) = HCF(6737,3055) = HCF(9792,6737) .

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Frequently Asked Questions on HCF of 9792, 6737 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 9792, 6737?

Answer: HCF of 9792, 6737 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9792, 6737 using Euclid's Algorithm?

Answer: For arbitrary numbers 9792, 6737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.