Highest Common Factor of 3151, 5588 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 3151, 5588 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3151, 5588 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 3151, 5588 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 3151, 5588 is 1.

HCF(3151, 5588) = 1

HCF of 3151, 5588 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 3151, 5588 is 1.

Highest Common Factor of 3151,5588 using Euclid's algorithm

Highest Common Factor of 3151,5588 is 1

Step 1: Since 5588 > 3151, we apply the division lemma to 5588 and 3151, to get

5588 = 3151 x 1 + 2437

Step 2: Since the reminder 3151 ≠ 0, we apply division lemma to 2437 and 3151, to get

3151 = 2437 x 1 + 714

Step 3: We consider the new divisor 2437 and the new remainder 714, and apply the division lemma to get

2437 = 714 x 3 + 295

We consider the new divisor 714 and the new remainder 295,and apply the division lemma to get

714 = 295 x 2 + 124

We consider the new divisor 295 and the new remainder 124,and apply the division lemma to get

295 = 124 x 2 + 47

We consider the new divisor 124 and the new remainder 47,and apply the division lemma to get

124 = 47 x 2 + 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 3151 and 5588 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(47,30) = HCF(124,47) = HCF(295,124) = HCF(714,295) = HCF(2437,714) = HCF(3151,2437) = HCF(5588,3151) .

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Frequently Asked Questions on HCF of 3151, 5588 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 3151, 5588?

Answer: HCF of 3151, 5588 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3151, 5588 using Euclid's Algorithm?

Answer: For arbitrary numbers 3151, 5588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.