Highest Common Factor of 9109, 6539 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 9109, 6539 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9109, 6539 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 9109, 6539 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 9109, 6539 is 1.

HCF(9109, 6539) = 1

HCF of 9109, 6539 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 9109, 6539 is 1.

Highest Common Factor of 9109,6539 using Euclid's algorithm

Highest Common Factor of 9109,6539 is 1

Step 1: Since 9109 > 6539, we apply the division lemma to 9109 and 6539, to get

9109 = 6539 x 1 + 2570

Step 2: Since the reminder 6539 ≠ 0, we apply division lemma to 2570 and 6539, to get

6539 = 2570 x 2 + 1399

Step 3: We consider the new divisor 2570 and the new remainder 1399, and apply the division lemma to get

2570 = 1399 x 1 + 1171

We consider the new divisor 1399 and the new remainder 1171,and apply the division lemma to get

1399 = 1171 x 1 + 228

We consider the new divisor 1171 and the new remainder 228,and apply the division lemma to get

1171 = 228 x 5 + 31

We consider the new divisor 228 and the new remainder 31,and apply the division lemma to get

228 = 31 x 7 + 11

We consider the new divisor 31 and the new remainder 11,and apply the division lemma to get

31 = 11 x 2 + 9

We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get

11 = 9 x 1 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 9109 and 6539 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(31,11) = HCF(228,31) = HCF(1171,228) = HCF(1399,1171) = HCF(2570,1399) = HCF(6539,2570) = HCF(9109,6539) .

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Frequently Asked Questions on HCF of 9109, 6539 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 9109, 6539?

Answer: HCF of 9109, 6539 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9109, 6539 using Euclid's Algorithm?

Answer: For arbitrary numbers 9109, 6539 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.