Highest Common Factor of 7218, 9059 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 7218, 9059 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7218, 9059 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 7218, 9059 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 7218, 9059 is 1.

HCF(7218, 9059) = 1

HCF of 7218, 9059 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 7218, 9059 is 1.

Highest Common Factor of 7218,9059 using Euclid's algorithm

Highest Common Factor of 7218,9059 is 1

Step 1: Since 9059 > 7218, we apply the division lemma to 9059 and 7218, to get

9059 = 7218 x 1 + 1841

Step 2: Since the reminder 7218 ≠ 0, we apply division lemma to 1841 and 7218, to get

7218 = 1841 x 3 + 1695

Step 3: We consider the new divisor 1841 and the new remainder 1695, and apply the division lemma to get

1841 = 1695 x 1 + 146

We consider the new divisor 1695 and the new remainder 146,and apply the division lemma to get

1695 = 146 x 11 + 89

We consider the new divisor 146 and the new remainder 89,and apply the division lemma to get

146 = 89 x 1 + 57

We consider the new divisor 89 and the new remainder 57,and apply the division lemma to get

89 = 57 x 1 + 32

We consider the new divisor 57 and the new remainder 32,and apply the division lemma to get

57 = 32 x 1 + 25

We consider the new divisor 32 and the new remainder 25,and apply the division lemma to get

32 = 25 x 1 + 7

We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get

25 = 7 x 3 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7218 and 9059 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(32,25) = HCF(57,32) = HCF(89,57) = HCF(146,89) = HCF(1695,146) = HCF(1841,1695) = HCF(7218,1841) = HCF(9059,7218) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 7218, 9059 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 7218, 9059?

Answer: HCF of 7218, 9059 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7218, 9059 using Euclid's Algorithm?

Answer: For arbitrary numbers 7218, 9059 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.