Highest Common Factor of 6087, 9418 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 6087, 9418 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6087, 9418 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 6087, 9418 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 6087, 9418 is 1.

HCF(6087, 9418) = 1

HCF of 6087, 9418 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 6087, 9418 is 1.

Highest Common Factor of 6087,9418 using Euclid's algorithm

Highest Common Factor of 6087,9418 is 1

Step 1: Since 9418 > 6087, we apply the division lemma to 9418 and 6087, to get

9418 = 6087 x 1 + 3331

Step 2: Since the reminder 6087 ≠ 0, we apply division lemma to 3331 and 6087, to get

6087 = 3331 x 1 + 2756

Step 3: We consider the new divisor 3331 and the new remainder 2756, and apply the division lemma to get

3331 = 2756 x 1 + 575

We consider the new divisor 2756 and the new remainder 575,and apply the division lemma to get

2756 = 575 x 4 + 456

We consider the new divisor 575 and the new remainder 456,and apply the division lemma to get

575 = 456 x 1 + 119

We consider the new divisor 456 and the new remainder 119,and apply the division lemma to get

456 = 119 x 3 + 99

We consider the new divisor 119 and the new remainder 99,and apply the division lemma to get

119 = 99 x 1 + 20

We consider the new divisor 99 and the new remainder 20,and apply the division lemma to get

99 = 20 x 4 + 19

We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get

20 = 19 x 1 + 1

We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6087 and 9418 is 1

Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(99,20) = HCF(119,99) = HCF(456,119) = HCF(575,456) = HCF(2756,575) = HCF(3331,2756) = HCF(6087,3331) = HCF(9418,6087) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 6087, 9418 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 6087, 9418?

Answer: HCF of 6087, 9418 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6087, 9418 using Euclid's Algorithm?

Answer: For arbitrary numbers 6087, 9418 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.