Highest Common Factor of 5163, 8402 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 5163, 8402 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5163, 8402 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 5163, 8402 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 5163, 8402 is 1.

HCF(5163, 8402) = 1

HCF of 5163, 8402 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 5163, 8402 is 1.

Highest Common Factor of 5163,8402 using Euclid's algorithm

Highest Common Factor of 5163,8402 is 1

Step 1: Since 8402 > 5163, we apply the division lemma to 8402 and 5163, to get

8402 = 5163 x 1 + 3239

Step 2: Since the reminder 5163 ≠ 0, we apply division lemma to 3239 and 5163, to get

5163 = 3239 x 1 + 1924

Step 3: We consider the new divisor 3239 and the new remainder 1924, and apply the division lemma to get

3239 = 1924 x 1 + 1315

We consider the new divisor 1924 and the new remainder 1315,and apply the division lemma to get

1924 = 1315 x 1 + 609

We consider the new divisor 1315 and the new remainder 609,and apply the division lemma to get

1315 = 609 x 2 + 97

We consider the new divisor 609 and the new remainder 97,and apply the division lemma to get

609 = 97 x 6 + 27

We consider the new divisor 97 and the new remainder 27,and apply the division lemma to get

97 = 27 x 3 + 16

We consider the new divisor 27 and the new remainder 16,and apply the division lemma to get

27 = 16 x 1 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5163 and 8402 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(27,16) = HCF(97,27) = HCF(609,97) = HCF(1315,609) = HCF(1924,1315) = HCF(3239,1924) = HCF(5163,3239) = HCF(8402,5163) .

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Frequently Asked Questions on HCF of 5163, 8402 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 5163, 8402?

Answer: HCF of 5163, 8402 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5163, 8402 using Euclid's Algorithm?

Answer: For arbitrary numbers 5163, 8402 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.