Highest Common Factor of 6611, 4677, 39876 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 6611, 4677, 39876 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6611, 4677, 39876 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 6611, 4677, 39876 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 6611, 4677, 39876 is 1.

HCF(6611, 4677, 39876) = 1

HCF of 6611, 4677, 39876 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 6611, 4677, 39876 is 1.

Highest Common Factor of 6611,4677,39876 using Euclid's algorithm

Highest Common Factor of 6611,4677,39876 is 1

Step 1: Since 6611 > 4677, we apply the division lemma to 6611 and 4677, to get

6611 = 4677 x 1 + 1934

Step 2: Since the reminder 4677 ≠ 0, we apply division lemma to 1934 and 4677, to get

4677 = 1934 x 2 + 809

Step 3: We consider the new divisor 1934 and the new remainder 809, and apply the division lemma to get

1934 = 809 x 2 + 316

We consider the new divisor 809 and the new remainder 316,and apply the division lemma to get

809 = 316 x 2 + 177

We consider the new divisor 316 and the new remainder 177,and apply the division lemma to get

316 = 177 x 1 + 139

We consider the new divisor 177 and the new remainder 139,and apply the division lemma to get

177 = 139 x 1 + 38

We consider the new divisor 139 and the new remainder 38,and apply the division lemma to get

139 = 38 x 3 + 25

We consider the new divisor 38 and the new remainder 25,and apply the division lemma to get

38 = 25 x 1 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 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 6611 and 4677 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(38,25) = HCF(139,38) = HCF(177,139) = HCF(316,177) = HCF(809,316) = HCF(1934,809) = HCF(4677,1934) = HCF(6611,4677) .

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

Step 1: Since 39876 > 1, we apply the division lemma to 39876 and 1, to get

39876 = 1 x 39876 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39876 is 1

Notice that 1 = HCF(39876,1) .

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Frequently Asked Questions on HCF of 6611, 4677, 39876 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 6611, 4677, 39876?

Answer: HCF of 6611, 4677, 39876 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6611, 4677, 39876 using Euclid's Algorithm?

Answer: For arbitrary numbers 6611, 4677, 39876 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.