Highest Common Factor of 9239, 5062 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 9239, 5062 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9239, 5062 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 9239, 5062 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 9239, 5062 is 1.

HCF(9239, 5062) = 1

HCF of 9239, 5062 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 9239, 5062 is 1.

Highest Common Factor of 9239,5062 using Euclid's algorithm

Highest Common Factor of 9239,5062 is 1

Step 1: Since 9239 > 5062, we apply the division lemma to 9239 and 5062, to get

9239 = 5062 x 1 + 4177

Step 2: Since the reminder 5062 ≠ 0, we apply division lemma to 4177 and 5062, to get

5062 = 4177 x 1 + 885

Step 3: We consider the new divisor 4177 and the new remainder 885, and apply the division lemma to get

4177 = 885 x 4 + 637

We consider the new divisor 885 and the new remainder 637,and apply the division lemma to get

885 = 637 x 1 + 248

We consider the new divisor 637 and the new remainder 248,and apply the division lemma to get

637 = 248 x 2 + 141

We consider the new divisor 248 and the new remainder 141,and apply the division lemma to get

248 = 141 x 1 + 107

We consider the new divisor 141 and the new remainder 107,and apply the division lemma to get

141 = 107 x 1 + 34

We consider the new divisor 107 and the new remainder 34,and apply the division lemma to get

107 = 34 x 3 + 5

We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get

34 = 5 x 6 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 9239 and 5062 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(107,34) = HCF(141,107) = HCF(248,141) = HCF(637,248) = HCF(885,637) = HCF(4177,885) = HCF(5062,4177) = HCF(9239,5062) .

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Frequently Asked Questions on HCF of 9239, 5062 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 9239, 5062?

Answer: HCF of 9239, 5062 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9239, 5062 using Euclid's Algorithm?

Answer: For arbitrary numbers 9239, 5062 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.