Highest Common Factor of 4979, 8706, 64551 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 4979, 8706, 64551 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4979, 8706, 64551 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 4979, 8706, 64551 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 4979, 8706, 64551 is 1.

HCF(4979, 8706, 64551) = 1

HCF of 4979, 8706, 64551 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 4979, 8706, 64551 is 1.

Highest Common Factor of 4979,8706,64551 using Euclid's algorithm

Highest Common Factor of 4979,8706,64551 is 1

Step 1: Since 8706 > 4979, we apply the division lemma to 8706 and 4979, to get

8706 = 4979 x 1 + 3727

Step 2: Since the reminder 4979 ≠ 0, we apply division lemma to 3727 and 4979, to get

4979 = 3727 x 1 + 1252

Step 3: We consider the new divisor 3727 and the new remainder 1252, and apply the division lemma to get

3727 = 1252 x 2 + 1223

We consider the new divisor 1252 and the new remainder 1223,and apply the division lemma to get

1252 = 1223 x 1 + 29

We consider the new divisor 1223 and the new remainder 29,and apply the division lemma to get

1223 = 29 x 42 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4979 and 8706 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(1223,29) = HCF(1252,1223) = HCF(3727,1252) = HCF(4979,3727) = HCF(8706,4979) .

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

Step 1: Since 64551 > 1, we apply the division lemma to 64551 and 1, to get

64551 = 1 x 64551 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64551 is 1

Notice that 1 = HCF(64551,1) .

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Frequently Asked Questions on HCF of 4979, 8706, 64551 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 4979, 8706, 64551?

Answer: HCF of 4979, 8706, 64551 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4979, 8706, 64551 using Euclid's Algorithm?

Answer: For arbitrary numbers 4979, 8706, 64551 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.