Highest Common Factor of 8983, 5037, 64513 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 8983, 5037, 64513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8983, 5037, 64513 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 8983, 5037, 64513 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 8983, 5037, 64513 is 1.

HCF(8983, 5037, 64513) = 1

HCF of 8983, 5037, 64513 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 8983, 5037, 64513 is 1.

Highest Common Factor of 8983,5037,64513 using Euclid's algorithm

Highest Common Factor of 8983,5037,64513 is 1

Step 1: Since 8983 > 5037, we apply the division lemma to 8983 and 5037, to get

8983 = 5037 x 1 + 3946

Step 2: Since the reminder 5037 ≠ 0, we apply division lemma to 3946 and 5037, to get

5037 = 3946 x 1 + 1091

Step 3: We consider the new divisor 3946 and the new remainder 1091, and apply the division lemma to get

3946 = 1091 x 3 + 673

We consider the new divisor 1091 and the new remainder 673,and apply the division lemma to get

1091 = 673 x 1 + 418

We consider the new divisor 673 and the new remainder 418,and apply the division lemma to get

673 = 418 x 1 + 255

We consider the new divisor 418 and the new remainder 255,and apply the division lemma to get

418 = 255 x 1 + 163

We consider the new divisor 255 and the new remainder 163,and apply the division lemma to get

255 = 163 x 1 + 92

We consider the new divisor 163 and the new remainder 92,and apply the division lemma to get

163 = 92 x 1 + 71

We consider the new divisor 92 and the new remainder 71,and apply the division lemma to get

92 = 71 x 1 + 21

We consider the new divisor 71 and the new remainder 21,and apply the division lemma to get

71 = 21 x 3 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 8983 and 5037 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(71,21) = HCF(92,71) = HCF(163,92) = HCF(255,163) = HCF(418,255) = HCF(673,418) = HCF(1091,673) = HCF(3946,1091) = HCF(5037,3946) = HCF(8983,5037) .


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

Step 1: Since 64513 > 1, we apply the division lemma to 64513 and 1, to get

64513 = 1 x 64513 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64513 is 1

Notice that 1 = HCF(64513,1) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 8983, 5037, 64513 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 8983, 5037, 64513?

Answer: HCF of 8983, 5037, 64513 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8983, 5037, 64513 using Euclid's Algorithm?

Answer: For arbitrary numbers 8983, 5037, 64513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.