Highest Common Factor of 3139, 5596 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 3139, 5596 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3139, 5596 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 3139, 5596 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 3139, 5596 is 1.

HCF(3139, 5596) = 1

HCF of 3139, 5596 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 3139, 5596 is 1.

Highest Common Factor of 3139,5596 using Euclid's algorithm

Highest Common Factor of 3139,5596 is 1

Step 1: Since 5596 > 3139, we apply the division lemma to 5596 and 3139, to get

5596 = 3139 x 1 + 2457

Step 2: Since the reminder 3139 ≠ 0, we apply division lemma to 2457 and 3139, to get

3139 = 2457 x 1 + 682

Step 3: We consider the new divisor 2457 and the new remainder 682, and apply the division lemma to get

2457 = 682 x 3 + 411

We consider the new divisor 682 and the new remainder 411,and apply the division lemma to get

682 = 411 x 1 + 271

We consider the new divisor 411 and the new remainder 271,and apply the division lemma to get

411 = 271 x 1 + 140

We consider the new divisor 271 and the new remainder 140,and apply the division lemma to get

271 = 140 x 1 + 131

We consider the new divisor 140 and the new remainder 131,and apply the division lemma to get

140 = 131 x 1 + 9

We consider the new divisor 131 and the new remainder 9,and apply the division lemma to get

131 = 9 x 14 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 3139 and 5596 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(131,9) = HCF(140,131) = HCF(271,140) = HCF(411,271) = HCF(682,411) = HCF(2457,682) = HCF(3139,2457) = HCF(5596,3139) .

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Frequently Asked Questions on HCF of 3139, 5596 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 3139, 5596?

Answer: HCF of 3139, 5596 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3139, 5596 using Euclid's Algorithm?

Answer: For arbitrary numbers 3139, 5596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.