Highest Common Factor of 3107, 7369 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 3107, 7369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3107, 7369 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 3107, 7369 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 3107, 7369 is 1.

HCF(3107, 7369) = 1

HCF of 3107, 7369 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 3107, 7369 is 1.

Highest Common Factor of 3107,7369 using Euclid's algorithm

Highest Common Factor of 3107,7369 is 1

Step 1: Since 7369 > 3107, we apply the division lemma to 7369 and 3107, to get

7369 = 3107 x 2 + 1155

Step 2: Since the reminder 3107 ≠ 0, we apply division lemma to 1155 and 3107, to get

3107 = 1155 x 2 + 797

Step 3: We consider the new divisor 1155 and the new remainder 797, and apply the division lemma to get

1155 = 797 x 1 + 358

We consider the new divisor 797 and the new remainder 358,and apply the division lemma to get

797 = 358 x 2 + 81

We consider the new divisor 358 and the new remainder 81,and apply the division lemma to get

358 = 81 x 4 + 34

We consider the new divisor 81 and the new remainder 34,and apply the division lemma to get

81 = 34 x 2 + 13

We consider the new divisor 34 and the new remainder 13,and apply the division lemma to get

34 = 13 x 2 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 3107 and 7369 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(34,13) = HCF(81,34) = HCF(358,81) = HCF(797,358) = HCF(1155,797) = HCF(3107,1155) = HCF(7369,3107) .

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Frequently Asked Questions on HCF of 3107, 7369 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 3107, 7369?

Answer: HCF of 3107, 7369 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3107, 7369 using Euclid's Algorithm?

Answer: For arbitrary numbers 3107, 7369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.