Highest Common Factor of 9878, 6477 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 9878, 6477 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9878, 6477 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 9878, 6477 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 9878, 6477 is 1.

HCF(9878, 6477) = 1

HCF of 9878, 6477 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 9878, 6477 is 1.

Highest Common Factor of 9878,6477 using Euclid's algorithm

Highest Common Factor of 9878,6477 is 1

Step 1: Since 9878 > 6477, we apply the division lemma to 9878 and 6477, to get

9878 = 6477 x 1 + 3401

Step 2: Since the reminder 6477 ≠ 0, we apply division lemma to 3401 and 6477, to get

6477 = 3401 x 1 + 3076

Step 3: We consider the new divisor 3401 and the new remainder 3076, and apply the division lemma to get

3401 = 3076 x 1 + 325

We consider the new divisor 3076 and the new remainder 325,and apply the division lemma to get

3076 = 325 x 9 + 151

We consider the new divisor 325 and the new remainder 151,and apply the division lemma to get

325 = 151 x 2 + 23

We consider the new divisor 151 and the new remainder 23,and apply the division lemma to get

151 = 23 x 6 + 13

We consider the new divisor 23 and the new remainder 13,and apply the division lemma to get

23 = 13 x 1 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9878 and 6477 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(23,13) = HCF(151,23) = HCF(325,151) = HCF(3076,325) = HCF(3401,3076) = HCF(6477,3401) = HCF(9878,6477) .

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Frequently Asked Questions on HCF of 9878, 6477 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 9878, 6477?

Answer: HCF of 9878, 6477 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9878, 6477 using Euclid's Algorithm?

Answer: For arbitrary numbers 9878, 6477 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.