Highest Common Factor of 9892, 6179 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 9892, 6179 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9892, 6179 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 9892, 6179 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 9892, 6179 is 1.

HCF(9892, 6179) = 1

HCF of 9892, 6179 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 9892, 6179 is 1.

Highest Common Factor of 9892,6179 using Euclid's algorithm

Highest Common Factor of 9892,6179 is 1

Step 1: Since 9892 > 6179, we apply the division lemma to 9892 and 6179, to get

9892 = 6179 x 1 + 3713

Step 2: Since the reminder 6179 ≠ 0, we apply division lemma to 3713 and 6179, to get

6179 = 3713 x 1 + 2466

Step 3: We consider the new divisor 3713 and the new remainder 2466, and apply the division lemma to get

3713 = 2466 x 1 + 1247

We consider the new divisor 2466 and the new remainder 1247,and apply the division lemma to get

2466 = 1247 x 1 + 1219

We consider the new divisor 1247 and the new remainder 1219,and apply the division lemma to get

1247 = 1219 x 1 + 28

We consider the new divisor 1219 and the new remainder 28,and apply the division lemma to get

1219 = 28 x 43 + 15

We consider the new divisor 28 and the new remainder 15,and apply the division lemma to get

28 = 15 x 1 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 9892 and 6179 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(28,15) = HCF(1219,28) = HCF(1247,1219) = HCF(2466,1247) = HCF(3713,2466) = HCF(6179,3713) = HCF(9892,6179) .

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Frequently Asked Questions on HCF of 9892, 6179 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 9892, 6179?

Answer: HCF of 9892, 6179 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9892, 6179 using Euclid's Algorithm?

Answer: For arbitrary numbers 9892, 6179 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.