Highest Common Factor of 996, 69113 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 996, 69113 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 996, 69113 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 996, 69113 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 996, 69113 is 1.

HCF(996, 69113) = 1

HCF of 996, 69113 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 996, 69113 is 1.

Highest Common Factor of 996,69113 using Euclid's algorithm

Highest Common Factor of 996,69113 is 1

Step 1: Since 69113 > 996, we apply the division lemma to 69113 and 996, to get

69113 = 996 x 69 + 389

Step 2: Since the reminder 996 ≠ 0, we apply division lemma to 389 and 996, to get

996 = 389 x 2 + 218

Step 3: We consider the new divisor 389 and the new remainder 218, and apply the division lemma to get

389 = 218 x 1 + 171

We consider the new divisor 218 and the new remainder 171,and apply the division lemma to get

218 = 171 x 1 + 47

We consider the new divisor 171 and the new remainder 47,and apply the division lemma to get

171 = 47 x 3 + 30

We consider the new divisor 47 and the new remainder 30,and apply the division lemma to get

47 = 30 x 1 + 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 996 and 69113 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(47,30) = HCF(171,47) = HCF(218,171) = HCF(389,218) = HCF(996,389) = HCF(69113,996) .

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Frequently Asked Questions on HCF of 996, 69113 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 996, 69113?

Answer: HCF of 996, 69113 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 996, 69113 using Euclid's Algorithm?

Answer: For arbitrary numbers 996, 69113 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.