Highest Common Factor of 9233, 6215 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 9233, 6215 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9233, 6215 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 9233, 6215 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 9233, 6215 is 1.

HCF(9233, 6215) = 1

HCF of 9233, 6215 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9233, 6215 is 1.

Highest Common Factor of 9233,6215 using Euclid's algorithm

Highest Common Factor of 9233,6215 is 1

Step 1: Since 9233 > 6215, we apply the division lemma to 9233 and 6215, to get

9233 = 6215 x 1 + 3018

Step 2: Since the reminder 6215 ≠ 0, we apply division lemma to 3018 and 6215, to get

6215 = 3018 x 2 + 179

Step 3: We consider the new divisor 3018 and the new remainder 179, and apply the division lemma to get

3018 = 179 x 16 + 154

We consider the new divisor 179 and the new remainder 154,and apply the division lemma to get

179 = 154 x 1 + 25

We consider the new divisor 154 and the new remainder 25,and apply the division lemma to get

154 = 25 x 6 + 4

We consider the new divisor 25 and the new remainder 4,and apply the division lemma to get

25 = 4 x 6 + 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 9233 and 6215 is 1

Notice that 1 = HCF(4,1) = HCF(25,4) = HCF(154,25) = HCF(179,154) = HCF(3018,179) = HCF(6215,3018) = HCF(9233,6215) .

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Frequently Asked Questions on HCF of 9233, 6215 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 9233, 6215?

Answer: HCF of 9233, 6215 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9233, 6215 using Euclid's Algorithm?

Answer: For arbitrary numbers 9233, 6215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.