Highest Common Factor of 5183, 3151 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 5183, 3151 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5183, 3151 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 5183, 3151 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 5183, 3151 is 1.

HCF(5183, 3151) = 1

HCF of 5183, 3151 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 5183, 3151 is 1.

Highest Common Factor of 5183,3151 using Euclid's algorithm

Highest Common Factor of 5183,3151 is 1

Step 1: Since 5183 > 3151, we apply the division lemma to 5183 and 3151, to get

5183 = 3151 x 1 + 2032

Step 2: Since the reminder 3151 ≠ 0, we apply division lemma to 2032 and 3151, to get

3151 = 2032 x 1 + 1119

Step 3: We consider the new divisor 2032 and the new remainder 1119, and apply the division lemma to get

2032 = 1119 x 1 + 913

We consider the new divisor 1119 and the new remainder 913,and apply the division lemma to get

1119 = 913 x 1 + 206

We consider the new divisor 913 and the new remainder 206,and apply the division lemma to get

913 = 206 x 4 + 89

We consider the new divisor 206 and the new remainder 89,and apply the division lemma to get

206 = 89 x 2 + 28

We consider the new divisor 89 and the new remainder 28,and apply the division lemma to get

89 = 28 x 3 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 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 5183 and 3151 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(89,28) = HCF(206,89) = HCF(913,206) = HCF(1119,913) = HCF(2032,1119) = HCF(3151,2032) = HCF(5183,3151) .

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Frequently Asked Questions on HCF of 5183, 3151 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 5183, 3151?

Answer: HCF of 5183, 3151 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5183, 3151 using Euclid's Algorithm?

Answer: For arbitrary numbers 5183, 3151 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.