Highest Common Factor of 5417, 9247 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 5417, 9247 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5417, 9247 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 5417, 9247 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 5417, 9247 is 1.

HCF(5417, 9247) = 1

HCF of 5417, 9247 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 5417, 9247 is 1.

Highest Common Factor of 5417,9247 using Euclid's algorithm

Highest Common Factor of 5417,9247 is 1

Step 1: Since 9247 > 5417, we apply the division lemma to 9247 and 5417, to get

9247 = 5417 x 1 + 3830

Step 2: Since the reminder 5417 ≠ 0, we apply division lemma to 3830 and 5417, to get

5417 = 3830 x 1 + 1587

Step 3: We consider the new divisor 3830 and the new remainder 1587, and apply the division lemma to get

3830 = 1587 x 2 + 656

We consider the new divisor 1587 and the new remainder 656,and apply the division lemma to get

1587 = 656 x 2 + 275

We consider the new divisor 656 and the new remainder 275,and apply the division lemma to get

656 = 275 x 2 + 106

We consider the new divisor 275 and the new remainder 106,and apply the division lemma to get

275 = 106 x 2 + 63

We consider the new divisor 106 and the new remainder 63,and apply the division lemma to get

106 = 63 x 1 + 43

We consider the new divisor 63 and the new remainder 43,and apply the division lemma to get

63 = 43 x 1 + 20

We consider the new divisor 43 and the new remainder 20,and apply the division lemma to get

43 = 20 x 2 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 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 5417 and 9247 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(43,20) = HCF(63,43) = HCF(106,63) = HCF(275,106) = HCF(656,275) = HCF(1587,656) = HCF(3830,1587) = HCF(5417,3830) = HCF(9247,5417) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 5417, 9247 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 5417, 9247?

Answer: HCF of 5417, 9247 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5417, 9247 using Euclid's Algorithm?

Answer: For arbitrary numbers 5417, 9247 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.