Highest Common Factor of 2139, 7393 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 2139, 7393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2139, 7393 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 2139, 7393 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 2139, 7393 is 1.

HCF(2139, 7393) = 1

HCF of 2139, 7393 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 2139, 7393 is 1.

Highest Common Factor of 2139,7393 using Euclid's algorithm

Highest Common Factor of 2139,7393 is 1

Step 1: Since 7393 > 2139, we apply the division lemma to 7393 and 2139, to get

7393 = 2139 x 3 + 976

Step 2: Since the reminder 2139 ≠ 0, we apply division lemma to 976 and 2139, to get

2139 = 976 x 2 + 187

Step 3: We consider the new divisor 976 and the new remainder 187, and apply the division lemma to get

976 = 187 x 5 + 41

We consider the new divisor 187 and the new remainder 41,and apply the division lemma to get

187 = 41 x 4 + 23

We consider the new divisor 41 and the new remainder 23,and apply the division lemma to get

41 = 23 x 1 + 18

We consider the new divisor 23 and the new remainder 18,and apply the division lemma to get

23 = 18 x 1 + 5

We consider the new divisor 18 and the new remainder 5,and apply the division lemma to get

18 = 5 x 3 + 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 2139 and 7393 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(18,5) = HCF(23,18) = HCF(41,23) = HCF(187,41) = HCF(976,187) = HCF(2139,976) = HCF(7393,2139) .

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Frequently Asked Questions on HCF of 2139, 7393 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 2139, 7393?

Answer: HCF of 2139, 7393 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2139, 7393 using Euclid's Algorithm?

Answer: For arbitrary numbers 2139, 7393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.