Highest Common Factor of 944, 5201, 6310 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 944, 5201, 6310 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 944, 5201, 6310 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 944, 5201, 6310 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 944, 5201, 6310 is 1.

HCF(944, 5201, 6310) = 1

HCF of 944, 5201, 6310 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 944, 5201, 6310 is 1.

Highest Common Factor of 944,5201,6310 using Euclid's algorithm

Highest Common Factor of 944,5201,6310 is 1

Step 1: Since 5201 > 944, we apply the division lemma to 5201 and 944, to get

5201 = 944 x 5 + 481

Step 2: Since the reminder 944 ≠ 0, we apply division lemma to 481 and 944, to get

944 = 481 x 1 + 463

Step 3: We consider the new divisor 481 and the new remainder 463, and apply the division lemma to get

481 = 463 x 1 + 18

We consider the new divisor 463 and the new remainder 18,and apply the division lemma to get

463 = 18 x 25 + 13

We consider the new divisor 18 and the new remainder 13,and apply the division lemma to get

18 = 13 x 1 + 5

We consider the new divisor 13 and the new remainder 5,and apply the division lemma to get

13 = 5 x 2 + 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 944 and 5201 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(13,5) = HCF(18,13) = HCF(463,18) = HCF(481,463) = HCF(944,481) = HCF(5201,944) .

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

Step 1: Since 6310 > 1, we apply the division lemma to 6310 and 1, to get

6310 = 1 x 6310 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6310 is 1

Notice that 1 = HCF(6310,1) .

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Frequently Asked Questions on HCF of 944, 5201, 6310 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 944, 5201, 6310?

Answer: HCF of 944, 5201, 6310 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 944, 5201, 6310 using Euclid's Algorithm?

Answer: For arbitrary numbers 944, 5201, 6310 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.