Highest Common Factor of 813, 9127 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 813, 9127 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 813, 9127 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 813, 9127 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 813, 9127 is 1.

HCF(813, 9127) = 1

HCF of 813, 9127 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 813, 9127 is 1.

Highest Common Factor of 813,9127 using Euclid's algorithm

Highest Common Factor of 813,9127 is 1

Step 1: Since 9127 > 813, we apply the division lemma to 9127 and 813, to get

9127 = 813 x 11 + 184

Step 2: Since the reminder 813 ≠ 0, we apply division lemma to 184 and 813, to get

813 = 184 x 4 + 77

Step 3: We consider the new divisor 184 and the new remainder 77, and apply the division lemma to get

184 = 77 x 2 + 30

We consider the new divisor 77 and the new remainder 30,and apply the division lemma to get

77 = 30 x 2 + 17

We consider the new divisor 30 and the new remainder 17,and apply the division lemma to get

30 = 17 x 1 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 813 and 9127 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(77,30) = HCF(184,77) = HCF(813,184) = HCF(9127,813) .

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Frequently Asked Questions on HCF of 813, 9127 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 813, 9127?

Answer: HCF of 813, 9127 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 813, 9127 using Euclid's Algorithm?

Answer: For arbitrary numbers 813, 9127 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.