Highest Common Factor of 5363, 9410 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 5363, 9410 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5363, 9410 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 5363, 9410 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 5363, 9410 is 1.

HCF(5363, 9410) = 1

HCF of 5363, 9410 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 5363, 9410 is 1.

Highest Common Factor of 5363,9410 using Euclid's algorithm

Highest Common Factor of 5363,9410 is 1

Step 1: Since 9410 > 5363, we apply the division lemma to 9410 and 5363, to get

9410 = 5363 x 1 + 4047

Step 2: Since the reminder 5363 ≠ 0, we apply division lemma to 4047 and 5363, to get

5363 = 4047 x 1 + 1316

Step 3: We consider the new divisor 4047 and the new remainder 1316, and apply the division lemma to get

4047 = 1316 x 3 + 99

We consider the new divisor 1316 and the new remainder 99,and apply the division lemma to get

1316 = 99 x 13 + 29

We consider the new divisor 99 and the new remainder 29,and apply the division lemma to get

99 = 29 x 3 + 12

We consider the new divisor 29 and the new remainder 12,and apply the division lemma to get

29 = 12 x 2 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 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 5363 and 9410 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(29,12) = HCF(99,29) = HCF(1316,99) = HCF(4047,1316) = HCF(5363,4047) = HCF(9410,5363) .

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Frequently Asked Questions on HCF of 5363, 9410 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 5363, 9410?

Answer: HCF of 5363, 9410 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5363, 9410 using Euclid's Algorithm?

Answer: For arbitrary numbers 5363, 9410 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.