Highest Common Factor of 6202, 5099 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 6202, 5099 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6202, 5099 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 6202, 5099 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 6202, 5099 is 1.

HCF(6202, 5099) = 1

HCF of 6202, 5099 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 6202, 5099 is 1.

Highest Common Factor of 6202,5099 using Euclid's algorithm

Highest Common Factor of 6202,5099 is 1

Step 1: Since 6202 > 5099, we apply the division lemma to 6202 and 5099, to get

6202 = 5099 x 1 + 1103

Step 2: Since the reminder 5099 ≠ 0, we apply division lemma to 1103 and 5099, to get

5099 = 1103 x 4 + 687

Step 3: We consider the new divisor 1103 and the new remainder 687, and apply the division lemma to get

1103 = 687 x 1 + 416

We consider the new divisor 687 and the new remainder 416,and apply the division lemma to get

687 = 416 x 1 + 271

We consider the new divisor 416 and the new remainder 271,and apply the division lemma to get

416 = 271 x 1 + 145

We consider the new divisor 271 and the new remainder 145,and apply the division lemma to get

271 = 145 x 1 + 126

We consider the new divisor 145 and the new remainder 126,and apply the division lemma to get

145 = 126 x 1 + 19

We consider the new divisor 126 and the new remainder 19,and apply the division lemma to get

126 = 19 x 6 + 12

We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get

19 = 12 x 1 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 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 6202 and 5099 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(126,19) = HCF(145,126) = HCF(271,145) = HCF(416,271) = HCF(687,416) = HCF(1103,687) = HCF(5099,1103) = HCF(6202,5099) .

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Frequently Asked Questions on HCF of 6202, 5099 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 6202, 5099?

Answer: HCF of 6202, 5099 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6202, 5099 using Euclid's Algorithm?

Answer: For arbitrary numbers 6202, 5099 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.