Highest Common Factor of 9514, 7339 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 9514, 7339 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9514, 7339 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 9514, 7339 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 9514, 7339 is 1.

HCF(9514, 7339) = 1

HCF of 9514, 7339 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 9514, 7339 is 1.

Highest Common Factor of 9514,7339 using Euclid's algorithm

Highest Common Factor of 9514,7339 is 1

Step 1: Since 9514 > 7339, we apply the division lemma to 9514 and 7339, to get

9514 = 7339 x 1 + 2175

Step 2: Since the reminder 7339 ≠ 0, we apply division lemma to 2175 and 7339, to get

7339 = 2175 x 3 + 814

Step 3: We consider the new divisor 2175 and the new remainder 814, and apply the division lemma to get

2175 = 814 x 2 + 547

We consider the new divisor 814 and the new remainder 547,and apply the division lemma to get

814 = 547 x 1 + 267

We consider the new divisor 547 and the new remainder 267,and apply the division lemma to get

547 = 267 x 2 + 13

We consider the new divisor 267 and the new remainder 13,and apply the division lemma to get

267 = 13 x 20 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9514 and 7339 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(267,13) = HCF(547,267) = HCF(814,547) = HCF(2175,814) = HCF(7339,2175) = HCF(9514,7339) .

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Frequently Asked Questions on HCF of 9514, 7339 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 9514, 7339?

Answer: HCF of 9514, 7339 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9514, 7339 using Euclid's Algorithm?

Answer: For arbitrary numbers 9514, 7339 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.