Highest Common Factor of 5209, 7502, 98838 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 5209, 7502, 98838 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5209, 7502, 98838 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 5209, 7502, 98838 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 5209, 7502, 98838 is 1.

HCF(5209, 7502, 98838) = 1

HCF of 5209, 7502, 98838 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 5209, 7502, 98838 is 1.

Highest Common Factor of 5209,7502,98838 using Euclid's algorithm

Highest Common Factor of 5209,7502,98838 is 1

Step 1: Since 7502 > 5209, we apply the division lemma to 7502 and 5209, to get

7502 = 5209 x 1 + 2293

Step 2: Since the reminder 5209 ≠ 0, we apply division lemma to 2293 and 5209, to get

5209 = 2293 x 2 + 623

Step 3: We consider the new divisor 2293 and the new remainder 623, and apply the division lemma to get

2293 = 623 x 3 + 424

We consider the new divisor 623 and the new remainder 424,and apply the division lemma to get

623 = 424 x 1 + 199

We consider the new divisor 424 and the new remainder 199,and apply the division lemma to get

424 = 199 x 2 + 26

We consider the new divisor 199 and the new remainder 26,and apply the division lemma to get

199 = 26 x 7 + 17

We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get

26 = 17 x 1 + 9

We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get

17 = 9 x 1 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5209 and 7502 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(199,26) = HCF(424,199) = HCF(623,424) = HCF(2293,623) = HCF(5209,2293) = HCF(7502,5209) .

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

Step 1: Since 98838 > 1, we apply the division lemma to 98838 and 1, to get

98838 = 1 x 98838 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98838 is 1

Notice that 1 = HCF(98838,1) .

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Frequently Asked Questions on HCF of 5209, 7502, 98838 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 5209, 7502, 98838?

Answer: HCF of 5209, 7502, 98838 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5209, 7502, 98838 using Euclid's Algorithm?

Answer: For arbitrary numbers 5209, 7502, 98838 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.