Highest Common Factor of 5645, 3114, 86476 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 5645, 3114, 86476 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5645, 3114, 86476 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 5645, 3114, 86476 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 5645, 3114, 86476 is 1.

HCF(5645, 3114, 86476) = 1

HCF of 5645, 3114, 86476 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 5645, 3114, 86476 is 1.

Highest Common Factor of 5645,3114,86476 using Euclid's algorithm

Highest Common Factor of 5645,3114,86476 is 1

Step 1: Since 5645 > 3114, we apply the division lemma to 5645 and 3114, to get

5645 = 3114 x 1 + 2531

Step 2: Since the reminder 3114 ≠ 0, we apply division lemma to 2531 and 3114, to get

3114 = 2531 x 1 + 583

Step 3: We consider the new divisor 2531 and the new remainder 583, and apply the division lemma to get

2531 = 583 x 4 + 199

We consider the new divisor 583 and the new remainder 199,and apply the division lemma to get

583 = 199 x 2 + 185

We consider the new divisor 199 and the new remainder 185,and apply the division lemma to get

199 = 185 x 1 + 14

We consider the new divisor 185 and the new remainder 14,and apply the division lemma to get

185 = 14 x 13 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 5645 and 3114 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(185,14) = HCF(199,185) = HCF(583,199) = HCF(2531,583) = HCF(3114,2531) = HCF(5645,3114) .

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

Step 1: Since 86476 > 1, we apply the division lemma to 86476 and 1, to get

86476 = 1 x 86476 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 86476 is 1

Notice that 1 = HCF(86476,1) .

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Frequently Asked Questions on HCF of 5645, 3114, 86476 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 5645, 3114, 86476?

Answer: HCF of 5645, 3114, 86476 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5645, 3114, 86476 using Euclid's Algorithm?

Answer: For arbitrary numbers 5645, 3114, 86476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.