Highest Common Factor of 3517, 6610, 41096 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 3517, 6610, 41096 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3517, 6610, 41096 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 3517, 6610, 41096 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 3517, 6610, 41096 is 1.

HCF(3517, 6610, 41096) = 1

HCF of 3517, 6610, 41096 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 3517, 6610, 41096 is 1.

Highest Common Factor of 3517,6610,41096 using Euclid's algorithm

Highest Common Factor of 3517,6610,41096 is 1

Step 1: Since 6610 > 3517, we apply the division lemma to 6610 and 3517, to get

6610 = 3517 x 1 + 3093

Step 2: Since the reminder 3517 ≠ 0, we apply division lemma to 3093 and 3517, to get

3517 = 3093 x 1 + 424

Step 3: We consider the new divisor 3093 and the new remainder 424, and apply the division lemma to get

3093 = 424 x 7 + 125

We consider the new divisor 424 and the new remainder 125,and apply the division lemma to get

424 = 125 x 3 + 49

We consider the new divisor 125 and the new remainder 49,and apply the division lemma to get

125 = 49 x 2 + 27

We consider the new divisor 49 and the new remainder 27,and apply the division lemma to get

49 = 27 x 1 + 22

We consider the new divisor 27 and the new remainder 22,and apply the division lemma to get

27 = 22 x 1 + 5

We consider the new divisor 22 and the new remainder 5,and apply the division lemma to get

22 = 5 x 4 + 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 3517 and 6610 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(22,5) = HCF(27,22) = HCF(49,27) = HCF(125,49) = HCF(424,125) = HCF(3093,424) = HCF(3517,3093) = HCF(6610,3517) .

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

Step 1: Since 41096 > 1, we apply the division lemma to 41096 and 1, to get

41096 = 1 x 41096 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41096 is 1

Notice that 1 = HCF(41096,1) .

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Frequently Asked Questions on HCF of 3517, 6610, 41096 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 3517, 6610, 41096?

Answer: HCF of 3517, 6610, 41096 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3517, 6610, 41096 using Euclid's Algorithm?

Answer: For arbitrary numbers 3517, 6610, 41096 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.