Highest Common Factor of 3719, 4467 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 3719, 4467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3719, 4467 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 3719, 4467 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 3719, 4467 is 1.

HCF(3719, 4467) = 1

HCF of 3719, 4467 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 3719, 4467 is 1.

Highest Common Factor of 3719,4467 using Euclid's algorithm

Highest Common Factor of 3719,4467 is 1

Step 1: Since 4467 > 3719, we apply the division lemma to 4467 and 3719, to get

4467 = 3719 x 1 + 748

Step 2: Since the reminder 3719 ≠ 0, we apply division lemma to 748 and 3719, to get

3719 = 748 x 4 + 727

Step 3: We consider the new divisor 748 and the new remainder 727, and apply the division lemma to get

748 = 727 x 1 + 21

We consider the new divisor 727 and the new remainder 21,and apply the division lemma to get

727 = 21 x 34 + 13

We consider the new divisor 21 and the new remainder 13,and apply the division lemma to get

21 = 13 x 1 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 3719 and 4467 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(21,13) = HCF(727,21) = HCF(748,727) = HCF(3719,748) = HCF(4467,3719) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 3719, 4467 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 3719, 4467?

Answer: HCF of 3719, 4467 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3719, 4467 using Euclid's Algorithm?

Answer: For arbitrary numbers 3719, 4467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.