Highest Common Factor of 5149, 7943 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 5149, 7943 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5149, 7943 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 5149, 7943 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 5149, 7943 is 1.

HCF(5149, 7943) = 1

HCF of 5149, 7943 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 5149, 7943 is 1.

Highest Common Factor of 5149,7943 using Euclid's algorithm

Highest Common Factor of 5149,7943 is 1

Step 1: Since 7943 > 5149, we apply the division lemma to 7943 and 5149, to get

7943 = 5149 x 1 + 2794

Step 2: Since the reminder 5149 ≠ 0, we apply division lemma to 2794 and 5149, to get

5149 = 2794 x 1 + 2355

Step 3: We consider the new divisor 2794 and the new remainder 2355, and apply the division lemma to get

2794 = 2355 x 1 + 439

We consider the new divisor 2355 and the new remainder 439,and apply the division lemma to get

2355 = 439 x 5 + 160

We consider the new divisor 439 and the new remainder 160,and apply the division lemma to get

439 = 160 x 2 + 119

We consider the new divisor 160 and the new remainder 119,and apply the division lemma to get

160 = 119 x 1 + 41

We consider the new divisor 119 and the new remainder 41,and apply the division lemma to get

119 = 41 x 2 + 37

We consider the new divisor 41 and the new remainder 37,and apply the division lemma to get

41 = 37 x 1 + 4

We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get

37 = 4 x 9 + 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 5149 and 7943 is 1

Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(41,37) = HCF(119,41) = HCF(160,119) = HCF(439,160) = HCF(2355,439) = HCF(2794,2355) = HCF(5149,2794) = HCF(7943,5149) .

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Frequently Asked Questions on HCF of 5149, 7943 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 5149, 7943?

Answer: HCF of 5149, 7943 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5149, 7943 using Euclid's Algorithm?

Answer: For arbitrary numbers 5149, 7943 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.