Highest Common Factor of 3913, 3492 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 3913, 3492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3913, 3492 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 3913, 3492 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 3913, 3492 is 1.

HCF(3913, 3492) = 1

HCF of 3913, 3492 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 3913, 3492 is 1.

Highest Common Factor of 3913,3492 using Euclid's algorithm

Highest Common Factor of 3913,3492 is 1

Step 1: Since 3913 > 3492, we apply the division lemma to 3913 and 3492, to get

3913 = 3492 x 1 + 421

Step 2: Since the reminder 3492 ≠ 0, we apply division lemma to 421 and 3492, to get

3492 = 421 x 8 + 124

Step 3: We consider the new divisor 421 and the new remainder 124, and apply the division lemma to get

421 = 124 x 3 + 49

We consider the new divisor 124 and the new remainder 49,and apply the division lemma to get

124 = 49 x 2 + 26

We consider the new divisor 49 and the new remainder 26,and apply the division lemma to get

49 = 26 x 1 + 23

We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get

26 = 23 x 1 + 3

We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get

23 = 3 x 7 + 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 3913 and 3492 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(49,26) = HCF(124,49) = HCF(421,124) = HCF(3492,421) = HCF(3913,3492) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 3913, 3492 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 3913, 3492?

Answer: HCF of 3913, 3492 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3913, 3492 using Euclid's Algorithm?

Answer: For arbitrary numbers 3913, 3492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.