Highest Common Factor of 5219, 3157 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 5219, 3157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5219, 3157 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 5219, 3157 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 5219, 3157 is 1.

HCF(5219, 3157) = 1

HCF of 5219, 3157 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 5219, 3157 is 1.

Highest Common Factor of 5219,3157 using Euclid's algorithm

Highest Common Factor of 5219,3157 is 1

Step 1: Since 5219 > 3157, we apply the division lemma to 5219 and 3157, to get

5219 = 3157 x 1 + 2062

Step 2: Since the reminder 3157 ≠ 0, we apply division lemma to 2062 and 3157, to get

3157 = 2062 x 1 + 1095

Step 3: We consider the new divisor 2062 and the new remainder 1095, and apply the division lemma to get

2062 = 1095 x 1 + 967

We consider the new divisor 1095 and the new remainder 967,and apply the division lemma to get

1095 = 967 x 1 + 128

We consider the new divisor 967 and the new remainder 128,and apply the division lemma to get

967 = 128 x 7 + 71

We consider the new divisor 128 and the new remainder 71,and apply the division lemma to get

128 = 71 x 1 + 57

We consider the new divisor 71 and the new remainder 57,and apply the division lemma to get

71 = 57 x 1 + 14

We consider the new divisor 57 and the new remainder 14,and apply the division lemma to get

57 = 14 x 4 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5219 and 3157 is 1

Notice that 1 = HCF(14,1) = HCF(57,14) = HCF(71,57) = HCF(128,71) = HCF(967,128) = HCF(1095,967) = HCF(2062,1095) = HCF(3157,2062) = HCF(5219,3157) .

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Frequently Asked Questions on HCF of 5219, 3157 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 5219, 3157?

Answer: HCF of 5219, 3157 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5219, 3157 using Euclid's Algorithm?

Answer: For arbitrary numbers 5219, 3157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.