Highest Common Factor of 9440, 6739 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 9440, 6739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9440, 6739 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 9440, 6739 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 9440, 6739 is 1.

HCF(9440, 6739) = 1

HCF of 9440, 6739 using Euclid's algorithm

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

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Highest common factor (HCF) of 9440, 6739 is 1.

Highest Common Factor of 9440,6739 using Euclid's algorithm

Highest Common Factor of 9440,6739 is 1

Step 1: Since 9440 > 6739, we apply the division lemma to 9440 and 6739, to get

9440 = 6739 x 1 + 2701

Step 2: Since the reminder 6739 ≠ 0, we apply division lemma to 2701 and 6739, to get

6739 = 2701 x 2 + 1337

Step 3: We consider the new divisor 2701 and the new remainder 1337, and apply the division lemma to get

2701 = 1337 x 2 + 27

We consider the new divisor 1337 and the new remainder 27,and apply the division lemma to get

1337 = 27 x 49 + 14

We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get

27 = 14 x 1 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9440 and 6739 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(1337,27) = HCF(2701,1337) = HCF(6739,2701) = HCF(9440,6739) .

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Frequently Asked Questions on HCF of 9440, 6739 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 9440, 6739?

Answer: HCF of 9440, 6739 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9440, 6739 using Euclid's Algorithm?

Answer: For arbitrary numbers 9440, 6739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.