Highest Common Factor of 6201, 8977 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 6201, 8977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6201, 8977 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 6201, 8977 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 6201, 8977 is 1.

HCF(6201, 8977) = 1

HCF of 6201, 8977 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 6201, 8977 is 1.

Highest Common Factor of 6201,8977 using Euclid's algorithm

Highest Common Factor of 6201,8977 is 1

Step 1: Since 8977 > 6201, we apply the division lemma to 8977 and 6201, to get

8977 = 6201 x 1 + 2776

Step 2: Since the reminder 6201 ≠ 0, we apply division lemma to 2776 and 6201, to get

6201 = 2776 x 2 + 649

Step 3: We consider the new divisor 2776 and the new remainder 649, and apply the division lemma to get

2776 = 649 x 4 + 180

We consider the new divisor 649 and the new remainder 180,and apply the division lemma to get

649 = 180 x 3 + 109

We consider the new divisor 180 and the new remainder 109,and apply the division lemma to get

180 = 109 x 1 + 71

We consider the new divisor 109 and the new remainder 71,and apply the division lemma to get

109 = 71 x 1 + 38

We consider the new divisor 71 and the new remainder 38,and apply the division lemma to get

71 = 38 x 1 + 33

We consider the new divisor 38 and the new remainder 33,and apply the division lemma to get

38 = 33 x 1 + 5

We consider the new divisor 33 and the new remainder 5,and apply the division lemma to get

33 = 5 x 6 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6201 and 8977 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(33,5) = HCF(38,33) = HCF(71,38) = HCF(109,71) = HCF(180,109) = HCF(649,180) = HCF(2776,649) = HCF(6201,2776) = HCF(8977,6201) .

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Frequently Asked Questions on HCF of 6201, 8977 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 6201, 8977?

Answer: HCF of 6201, 8977 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6201, 8977 using Euclid's Algorithm?

Answer: For arbitrary numbers 6201, 8977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.