Highest Common Factor of 5114, 1481 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 5114, 1481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5114, 1481 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 5114, 1481 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 5114, 1481 is 1.

HCF(5114, 1481) = 1

HCF of 5114, 1481 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 5114, 1481 is 1.

Highest Common Factor of 5114,1481 using Euclid's algorithm

Highest Common Factor of 5114,1481 is 1

Step 1: Since 5114 > 1481, we apply the division lemma to 5114 and 1481, to get

5114 = 1481 x 3 + 671

Step 2: Since the reminder 1481 ≠ 0, we apply division lemma to 671 and 1481, to get

1481 = 671 x 2 + 139

Step 3: We consider the new divisor 671 and the new remainder 139, and apply the division lemma to get

671 = 139 x 4 + 115

We consider the new divisor 139 and the new remainder 115,and apply the division lemma to get

139 = 115 x 1 + 24

We consider the new divisor 115 and the new remainder 24,and apply the division lemma to get

115 = 24 x 4 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 5114 and 1481 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(115,24) = HCF(139,115) = HCF(671,139) = HCF(1481,671) = HCF(5114,1481) .

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Frequently Asked Questions on HCF of 5114, 1481 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 5114, 1481?

Answer: HCF of 5114, 1481 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5114, 1481 using Euclid's Algorithm?

Answer: For arbitrary numbers 5114, 1481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.