Highest Common Factor of 6355, 4687, 86493 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 6355, 4687, 86493 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6355, 4687, 86493 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 6355, 4687, 86493 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 6355, 4687, 86493 is 1.

HCF(6355, 4687, 86493) = 1

HCF of 6355, 4687, 86493 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 6355, 4687, 86493 is 1.

Highest Common Factor of 6355,4687,86493 using Euclid's algorithm

Highest Common Factor of 6355,4687,86493 is 1

Step 1: Since 6355 > 4687, we apply the division lemma to 6355 and 4687, to get

6355 = 4687 x 1 + 1668

Step 2: Since the reminder 4687 ≠ 0, we apply division lemma to 1668 and 4687, to get

4687 = 1668 x 2 + 1351

Step 3: We consider the new divisor 1668 and the new remainder 1351, and apply the division lemma to get

1668 = 1351 x 1 + 317

We consider the new divisor 1351 and the new remainder 317,and apply the division lemma to get

1351 = 317 x 4 + 83

We consider the new divisor 317 and the new remainder 83,and apply the division lemma to get

317 = 83 x 3 + 68

We consider the new divisor 83 and the new remainder 68,and apply the division lemma to get

83 = 68 x 1 + 15

We consider the new divisor 68 and the new remainder 15,and apply the division lemma to get

68 = 15 x 4 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6355 and 4687 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(68,15) = HCF(83,68) = HCF(317,83) = HCF(1351,317) = HCF(1668,1351) = HCF(4687,1668) = HCF(6355,4687) .

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

Step 1: Since 86493 > 1, we apply the division lemma to 86493 and 1, to get

86493 = 1 x 86493 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 86493 is 1

Notice that 1 = HCF(86493,1) .

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Frequently Asked Questions on HCF of 6355, 4687, 86493 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 6355, 4687, 86493?

Answer: HCF of 6355, 4687, 86493 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6355, 4687, 86493 using Euclid's Algorithm?

Answer: For arbitrary numbers 6355, 4687, 86493 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.