Highest Common Factor of 7676, 6519 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 7676, 6519 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7676, 6519 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 7676, 6519 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 7676, 6519 is 1.

HCF(7676, 6519) = 1

HCF of 7676, 6519 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 7676, 6519 is 1.

Highest Common Factor of 7676,6519 using Euclid's algorithm

Highest Common Factor of 7676,6519 is 1

Step 1: Since 7676 > 6519, we apply the division lemma to 7676 and 6519, to get

7676 = 6519 x 1 + 1157

Step 2: Since the reminder 6519 ≠ 0, we apply division lemma to 1157 and 6519, to get

6519 = 1157 x 5 + 734

Step 3: We consider the new divisor 1157 and the new remainder 734, and apply the division lemma to get

1157 = 734 x 1 + 423

We consider the new divisor 734 and the new remainder 423,and apply the division lemma to get

734 = 423 x 1 + 311

We consider the new divisor 423 and the new remainder 311,and apply the division lemma to get

423 = 311 x 1 + 112

We consider the new divisor 311 and the new remainder 112,and apply the division lemma to get

311 = 112 x 2 + 87

We consider the new divisor 112 and the new remainder 87,and apply the division lemma to get

112 = 87 x 1 + 25

We consider the new divisor 87 and the new remainder 25,and apply the division lemma to get

87 = 25 x 3 + 12

We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get

25 = 12 x 2 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7676 and 6519 is 1

Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(87,25) = HCF(112,87) = HCF(311,112) = HCF(423,311) = HCF(734,423) = HCF(1157,734) = HCF(6519,1157) = HCF(7676,6519) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 7676, 6519 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 7676, 6519?

Answer: HCF of 7676, 6519 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7676, 6519 using Euclid's Algorithm?

Answer: For arbitrary numbers 7676, 6519 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.