Highest Common Factor of 8196, 8687, 76407 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 8196, 8687, 76407 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8196, 8687, 76407 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 8196, 8687, 76407 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 8196, 8687, 76407 is 1.

HCF(8196, 8687, 76407) = 1

HCF of 8196, 8687, 76407 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 8196, 8687, 76407 is 1.

Highest Common Factor of 8196,8687,76407 using Euclid's algorithm

Highest Common Factor of 8196,8687,76407 is 1

Step 1: Since 8687 > 8196, we apply the division lemma to 8687 and 8196, to get

8687 = 8196 x 1 + 491

Step 2: Since the reminder 8196 ≠ 0, we apply division lemma to 491 and 8196, to get

8196 = 491 x 16 + 340

Step 3: We consider the new divisor 491 and the new remainder 340, and apply the division lemma to get

491 = 340 x 1 + 151

We consider the new divisor 340 and the new remainder 151,and apply the division lemma to get

340 = 151 x 2 + 38

We consider the new divisor 151 and the new remainder 38,and apply the division lemma to get

151 = 38 x 3 + 37

We consider the new divisor 38 and the new remainder 37,and apply the division lemma to get

38 = 37 x 1 + 1

We consider the new divisor 37 and the new remainder 1,and apply the division lemma to get

37 = 1 x 37 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8196 and 8687 is 1

Notice that 1 = HCF(37,1) = HCF(38,37) = HCF(151,38) = HCF(340,151) = HCF(491,340) = HCF(8196,491) = HCF(8687,8196) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 76407 > 1, we apply the division lemma to 76407 and 1, to get

76407 = 1 x 76407 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 76407 is 1

Notice that 1 = HCF(76407,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 8196, 8687, 76407 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 8196, 8687, 76407?

Answer: HCF of 8196, 8687, 76407 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8196, 8687, 76407 using Euclid's Algorithm?

Answer: For arbitrary numbers 8196, 8687, 76407 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.