Highest Common Factor of 9427, 5458 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 9427, 5458 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9427, 5458 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 9427, 5458 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 9427, 5458 is 1.

HCF(9427, 5458) = 1

HCF of 9427, 5458 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 9427, 5458 is 1.

Highest Common Factor of 9427,5458 using Euclid's algorithm

Highest Common Factor of 9427,5458 is 1

Step 1: Since 9427 > 5458, we apply the division lemma to 9427 and 5458, to get

9427 = 5458 x 1 + 3969

Step 2: Since the reminder 5458 ≠ 0, we apply division lemma to 3969 and 5458, to get

5458 = 3969 x 1 + 1489

Step 3: We consider the new divisor 3969 and the new remainder 1489, and apply the division lemma to get

3969 = 1489 x 2 + 991

We consider the new divisor 1489 and the new remainder 991,and apply the division lemma to get

1489 = 991 x 1 + 498

We consider the new divisor 991 and the new remainder 498,and apply the division lemma to get

991 = 498 x 1 + 493

We consider the new divisor 498 and the new remainder 493,and apply the division lemma to get

498 = 493 x 1 + 5

We consider the new divisor 493 and the new remainder 5,and apply the division lemma to get

493 = 5 x 98 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 9427 and 5458 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(493,5) = HCF(498,493) = HCF(991,498) = HCF(1489,991) = HCF(3969,1489) = HCF(5458,3969) = HCF(9427,5458) .

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Frequently Asked Questions on HCF of 9427, 5458 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 9427, 5458?

Answer: HCF of 9427, 5458 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9427, 5458 using Euclid's Algorithm?

Answer: For arbitrary numbers 9427, 5458 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.