Highest Common Factor of 6108, 3529 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 6108, 3529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6108, 3529 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 6108, 3529 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 6108, 3529 is 1.

HCF(6108, 3529) = 1

HCF of 6108, 3529 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 6108, 3529 is 1.

Highest Common Factor of 6108,3529 using Euclid's algorithm

Highest Common Factor of 6108,3529 is 1

Step 1: Since 6108 > 3529, we apply the division lemma to 6108 and 3529, to get

6108 = 3529 x 1 + 2579

Step 2: Since the reminder 3529 ≠ 0, we apply division lemma to 2579 and 3529, to get

3529 = 2579 x 1 + 950

Step 3: We consider the new divisor 2579 and the new remainder 950, and apply the division lemma to get

2579 = 950 x 2 + 679

We consider the new divisor 950 and the new remainder 679,and apply the division lemma to get

950 = 679 x 1 + 271

We consider the new divisor 679 and the new remainder 271,and apply the division lemma to get

679 = 271 x 2 + 137

We consider the new divisor 271 and the new remainder 137,and apply the division lemma to get

271 = 137 x 1 + 134

We consider the new divisor 137 and the new remainder 134,and apply the division lemma to get

137 = 134 x 1 + 3

We consider the new divisor 134 and the new remainder 3,and apply the division lemma to get

134 = 3 x 44 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6108 and 3529 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(134,3) = HCF(137,134) = HCF(271,137) = HCF(679,271) = HCF(950,679) = HCF(2579,950) = HCF(3529,2579) = HCF(6108,3529) .

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Frequently Asked Questions on HCF of 6108, 3529 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 6108, 3529?

Answer: HCF of 6108, 3529 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6108, 3529 using Euclid's Algorithm?

Answer: For arbitrary numbers 6108, 3529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.