Highest Common Factor of 9410, 6538 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 9410, 6538 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 9410, 6538 is 2 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 9410, 6538 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 9410, 6538 is 2.

HCF(9410, 6538) = 2

HCF of 9410, 6538 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 9410, 6538 is 2.

Highest Common Factor of 9410,6538 using Euclid's algorithm

Highest Common Factor of 9410,6538 is 2

Step 1: Since 9410 > 6538, we apply the division lemma to 9410 and 6538, to get

9410 = 6538 x 1 + 2872

Step 2: Since the reminder 6538 ≠ 0, we apply division lemma to 2872 and 6538, to get

6538 = 2872 x 2 + 794

Step 3: We consider the new divisor 2872 and the new remainder 794, and apply the division lemma to get

2872 = 794 x 3 + 490

We consider the new divisor 794 and the new remainder 490,and apply the division lemma to get

794 = 490 x 1 + 304

We consider the new divisor 490 and the new remainder 304,and apply the division lemma to get

490 = 304 x 1 + 186

We consider the new divisor 304 and the new remainder 186,and apply the division lemma to get

304 = 186 x 1 + 118

We consider the new divisor 186 and the new remainder 118,and apply the division lemma to get

186 = 118 x 1 + 68

We consider the new divisor 118 and the new remainder 68,and apply the division lemma to get

118 = 68 x 1 + 50

We consider the new divisor 68 and the new remainder 50,and apply the division lemma to get

68 = 50 x 1 + 18

We consider the new divisor 50 and the new remainder 18,and apply the division lemma to get

50 = 18 x 2 + 14

We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get

18 = 14 x 1 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9410 and 6538 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(50,18) = HCF(68,50) = HCF(118,68) = HCF(186,118) = HCF(304,186) = HCF(490,304) = HCF(794,490) = HCF(2872,794) = HCF(6538,2872) = HCF(9410,6538) .

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Frequently Asked Questions on HCF of 9410, 6538 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 9410, 6538?

Answer: HCF of 9410, 6538 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9410, 6538 using Euclid's Algorithm?

Answer: For arbitrary numbers 9410, 6538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.