Highest Common Factor of 9209, 6118 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 9209, 6118 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9209, 6118 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 9209, 6118 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 9209, 6118 is 1.

HCF(9209, 6118) = 1

HCF of 9209, 6118 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 9209, 6118 is 1.

Highest Common Factor of 9209,6118 using Euclid's algorithm

Highest Common Factor of 9209,6118 is 1

Step 1: Since 9209 > 6118, we apply the division lemma to 9209 and 6118, to get

9209 = 6118 x 1 + 3091

Step 2: Since the reminder 6118 ≠ 0, we apply division lemma to 3091 and 6118, to get

6118 = 3091 x 1 + 3027

Step 3: We consider the new divisor 3091 and the new remainder 3027, and apply the division lemma to get

3091 = 3027 x 1 + 64

We consider the new divisor 3027 and the new remainder 64,and apply the division lemma to get

3027 = 64 x 47 + 19

We consider the new divisor 64 and the new remainder 19,and apply the division lemma to get

64 = 19 x 3 + 7

We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get

19 = 7 x 2 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 9209 and 6118 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(64,19) = HCF(3027,64) = HCF(3091,3027) = HCF(6118,3091) = HCF(9209,6118) .

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Frequently Asked Questions on HCF of 9209, 6118 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 9209, 6118?

Answer: HCF of 9209, 6118 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9209, 6118 using Euclid's Algorithm?

Answer: For arbitrary numbers 9209, 6118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.