Highest Common Factor of 7369, 5176 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 7369, 5176 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7369, 5176 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 7369, 5176 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 7369, 5176 is 1.

HCF(7369, 5176) = 1

HCF of 7369, 5176 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 7369, 5176 is 1.

Highest Common Factor of 7369,5176 using Euclid's algorithm

Highest Common Factor of 7369,5176 is 1

Step 1: Since 7369 > 5176, we apply the division lemma to 7369 and 5176, to get

7369 = 5176 x 1 + 2193

Step 2: Since the reminder 5176 ≠ 0, we apply division lemma to 2193 and 5176, to get

5176 = 2193 x 2 + 790

Step 3: We consider the new divisor 2193 and the new remainder 790, and apply the division lemma to get

2193 = 790 x 2 + 613

We consider the new divisor 790 and the new remainder 613,and apply the division lemma to get

790 = 613 x 1 + 177

We consider the new divisor 613 and the new remainder 177,and apply the division lemma to get

613 = 177 x 3 + 82

We consider the new divisor 177 and the new remainder 82,and apply the division lemma to get

177 = 82 x 2 + 13

We consider the new divisor 82 and the new remainder 13,and apply the division lemma to get

82 = 13 x 6 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7369 and 5176 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(82,13) = HCF(177,82) = HCF(613,177) = HCF(790,613) = HCF(2193,790) = HCF(5176,2193) = HCF(7369,5176) .

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Frequently Asked Questions on HCF of 7369, 5176 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 7369, 5176?

Answer: HCF of 7369, 5176 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7369, 5176 using Euclid's Algorithm?

Answer: For arbitrary numbers 7369, 5176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.