Highest Common Factor of 906, 5317 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 906, 5317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 906, 5317 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 906, 5317 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 906, 5317 is 1.

HCF(906, 5317) = 1

HCF of 906, 5317 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 906, 5317 is 1.

Highest Common Factor of 906,5317 using Euclid's algorithm

Highest Common Factor of 906,5317 is 1

Step 1: Since 5317 > 906, we apply the division lemma to 5317 and 906, to get

5317 = 906 x 5 + 787

Step 2: Since the reminder 906 ≠ 0, we apply division lemma to 787 and 906, to get

906 = 787 x 1 + 119

Step 3: We consider the new divisor 787 and the new remainder 119, and apply the division lemma to get

787 = 119 x 6 + 73

We consider the new divisor 119 and the new remainder 73,and apply the division lemma to get

119 = 73 x 1 + 46

We consider the new divisor 73 and the new remainder 46,and apply the division lemma to get

73 = 46 x 1 + 27

We consider the new divisor 46 and the new remainder 27,and apply the division lemma to get

46 = 27 x 1 + 19

We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get

27 = 19 x 1 + 8

We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get

19 = 8 x 2 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 906 and 5317 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(46,27) = HCF(73,46) = HCF(119,73) = HCF(787,119) = HCF(906,787) = HCF(5317,906) .

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Frequently Asked Questions on HCF of 906, 5317 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 906, 5317?

Answer: HCF of 906, 5317 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 906, 5317 using Euclid's Algorithm?

Answer: For arbitrary numbers 906, 5317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.