Highest Common Factor of 647, 779, 486 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 647, 779, 486 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 647, 779, 486 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 647, 779, 486 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 647, 779, 486 is 1.

HCF(647, 779, 486) = 1

HCF of 647, 779, 486 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 647, 779, 486 is 1.

Highest Common Factor of 647,779,486 using Euclid's algorithm

Highest Common Factor of 647,779,486 is 1

Step 1: Since 779 > 647, we apply the division lemma to 779 and 647, to get

779 = 647 x 1 + 132

Step 2: Since the reminder 647 ≠ 0, we apply division lemma to 132 and 647, to get

647 = 132 x 4 + 119

Step 3: We consider the new divisor 132 and the new remainder 119, and apply the division lemma to get

132 = 119 x 1 + 13

We consider the new divisor 119 and the new remainder 13,and apply the division lemma to get

119 = 13 x 9 + 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 647 and 779 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(119,13) = HCF(132,119) = HCF(647,132) = HCF(779,647) .

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

Step 1: Since 486 > 1, we apply the division lemma to 486 and 1, to get

486 = 1 x 486 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 486 is 1

Notice that 1 = HCF(486,1) .

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Frequently Asked Questions on HCF of 647, 779, 486 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 647, 779, 486?

Answer: HCF of 647, 779, 486 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 647, 779, 486 using Euclid's Algorithm?

Answer: For arbitrary numbers 647, 779, 486 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.