Highest Common Factor of 3743, 5109 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 3743, 5109 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3743, 5109 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 3743, 5109 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 3743, 5109 is 1.

HCF(3743, 5109) = 1

HCF of 3743, 5109 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 3743, 5109 is 1.

Highest Common Factor of 3743,5109 using Euclid's algorithm

Highest Common Factor of 3743,5109 is 1

Step 1: Since 5109 > 3743, we apply the division lemma to 5109 and 3743, to get

5109 = 3743 x 1 + 1366

Step 2: Since the reminder 3743 ≠ 0, we apply division lemma to 1366 and 3743, to get

3743 = 1366 x 2 + 1011

Step 3: We consider the new divisor 1366 and the new remainder 1011, and apply the division lemma to get

1366 = 1011 x 1 + 355

We consider the new divisor 1011 and the new remainder 355,and apply the division lemma to get

1011 = 355 x 2 + 301

We consider the new divisor 355 and the new remainder 301,and apply the division lemma to get

355 = 301 x 1 + 54

We consider the new divisor 301 and the new remainder 54,and apply the division lemma to get

301 = 54 x 5 + 31

We consider the new divisor 54 and the new remainder 31,and apply the division lemma to get

54 = 31 x 1 + 23

We consider the new divisor 31 and the new remainder 23,and apply the division lemma to get

31 = 23 x 1 + 8

We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get

23 = 8 x 2 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3743 and 5109 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(31,23) = HCF(54,31) = HCF(301,54) = HCF(355,301) = HCF(1011,355) = HCF(1366,1011) = HCF(3743,1366) = HCF(5109,3743) .

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Frequently Asked Questions on HCF of 3743, 5109 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 3743, 5109?

Answer: HCF of 3743, 5109 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3743, 5109 using Euclid's Algorithm?

Answer: For arbitrary numbers 3743, 5109 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.