Highest Common Factor of 4347, 9475 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 4347, 9475 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4347, 9475 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 4347, 9475 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 4347, 9475 is 1.

HCF(4347, 9475) = 1

HCF of 4347, 9475 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 4347, 9475 is 1.

Highest Common Factor of 4347,9475 using Euclid's algorithm

Highest Common Factor of 4347,9475 is 1

Step 1: Since 9475 > 4347, we apply the division lemma to 9475 and 4347, to get

9475 = 4347 x 2 + 781

Step 2: Since the reminder 4347 ≠ 0, we apply division lemma to 781 and 4347, to get

4347 = 781 x 5 + 442

Step 3: We consider the new divisor 781 and the new remainder 442, and apply the division lemma to get

781 = 442 x 1 + 339

We consider the new divisor 442 and the new remainder 339,and apply the division lemma to get

442 = 339 x 1 + 103

We consider the new divisor 339 and the new remainder 103,and apply the division lemma to get

339 = 103 x 3 + 30

We consider the new divisor 103 and the new remainder 30,and apply the division lemma to get

103 = 30 x 3 + 13

We consider the new divisor 30 and the new remainder 13,and apply the division lemma to get

30 = 13 x 2 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 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 4347 and 9475 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(30,13) = HCF(103,30) = HCF(339,103) = HCF(442,339) = HCF(781,442) = HCF(4347,781) = HCF(9475,4347) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 4347, 9475 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 4347, 9475?

Answer: HCF of 4347, 9475 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4347, 9475 using Euclid's Algorithm?

Answer: For arbitrary numbers 4347, 9475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.