Highest Common Factor of 5058, 8202, 96493 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 5058, 8202, 96493 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5058, 8202, 96493 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 5058, 8202, 96493 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 5058, 8202, 96493 is 1.

HCF(5058, 8202, 96493) = 1

HCF of 5058, 8202, 96493 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 5058, 8202, 96493 is 1.

Highest Common Factor of 5058,8202,96493 using Euclid's algorithm

Highest Common Factor of 5058,8202,96493 is 1

Step 1: Since 8202 > 5058, we apply the division lemma to 8202 and 5058, to get

8202 = 5058 x 1 + 3144

Step 2: Since the reminder 5058 ≠ 0, we apply division lemma to 3144 and 5058, to get

5058 = 3144 x 1 + 1914

Step 3: We consider the new divisor 3144 and the new remainder 1914, and apply the division lemma to get

3144 = 1914 x 1 + 1230

We consider the new divisor 1914 and the new remainder 1230,and apply the division lemma to get

1914 = 1230 x 1 + 684

We consider the new divisor 1230 and the new remainder 684,and apply the division lemma to get

1230 = 684 x 1 + 546

We consider the new divisor 684 and the new remainder 546,and apply the division lemma to get

684 = 546 x 1 + 138

We consider the new divisor 546 and the new remainder 138,and apply the division lemma to get

546 = 138 x 3 + 132

We consider the new divisor 138 and the new remainder 132,and apply the division lemma to get

138 = 132 x 1 + 6

We consider the new divisor 132 and the new remainder 6,and apply the division lemma to get

132 = 6 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 5058 and 8202 is 6

Notice that 6 = HCF(132,6) = HCF(138,132) = HCF(546,138) = HCF(684,546) = HCF(1230,684) = HCF(1914,1230) = HCF(3144,1914) = HCF(5058,3144) = HCF(8202,5058) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 96493 > 6, we apply the division lemma to 96493 and 6, to get

96493 = 6 x 16082 + 1

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 1 and 6, to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 96493 is 1

Notice that 1 = HCF(6,1) = HCF(96493,6) .

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Frequently Asked Questions on HCF of 5058, 8202, 96493 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 5058, 8202, 96493?

Answer: HCF of 5058, 8202, 96493 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5058, 8202, 96493 using Euclid's Algorithm?

Answer: For arbitrary numbers 5058, 8202, 96493 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.