Highest Common Factor of 8257, 3100, 46881 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 8257, 3100, 46881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8257, 3100, 46881 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 8257, 3100, 46881 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 8257, 3100, 46881 is 1.

HCF(8257, 3100, 46881) = 1

HCF of 8257, 3100, 46881 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 8257, 3100, 46881 is 1.

Highest Common Factor of 8257,3100,46881 using Euclid's algorithm

Highest Common Factor of 8257,3100,46881 is 1

Step 1: Since 8257 > 3100, we apply the division lemma to 8257 and 3100, to get

8257 = 3100 x 2 + 2057

Step 2: Since the reminder 3100 ≠ 0, we apply division lemma to 2057 and 3100, to get

3100 = 2057 x 1 + 1043

Step 3: We consider the new divisor 2057 and the new remainder 1043, and apply the division lemma to get

2057 = 1043 x 1 + 1014

We consider the new divisor 1043 and the new remainder 1014,and apply the division lemma to get

1043 = 1014 x 1 + 29

We consider the new divisor 1014 and the new remainder 29,and apply the division lemma to get

1014 = 29 x 34 + 28

We consider the new divisor 29 and the new remainder 28,and apply the division lemma to get

29 = 28 x 1 + 1

We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8257 and 3100 is 1

Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(1014,29) = HCF(1043,1014) = HCF(2057,1043) = HCF(3100,2057) = HCF(8257,3100) .

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

Step 1: Since 46881 > 1, we apply the division lemma to 46881 and 1, to get

46881 = 1 x 46881 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46881 is 1

Notice that 1 = HCF(46881,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 8257, 3100, 46881 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 8257, 3100, 46881?

Answer: HCF of 8257, 3100, 46881 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8257, 3100, 46881 using Euclid's Algorithm?

Answer: For arbitrary numbers 8257, 3100, 46881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.