How to Find GCF of 8537/218, 4277/4262?

GCF of 8537/218, 4277/4262

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8537/218, 4277/4262 i.e 1/464558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8537/218, 4277/4262.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8537/218,4277/4262?

Given fractions are 8537/218,4277/4262

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8537/218,4277/4262, numerators are 8537,4277

Denominators are 218,4262

The GCF of 8537,4277 is 1 .

LCM of 218,4262 is 464558.

The greatest common factor of 8537/218,4277/4262 = [GCF of 8537,4277]/[LCM of 218,4262]= 1/464558

Therefore, the GCF of 8537/218,4277/4262 is 1/464558.

Greatest Common Factor of 8537,4277

To find the highest common factor of 8537,4277, we have to find the factors of both numbers and list the highest common factor.

The factors of 8537 are 1, 8537

The factors of 4277 are 1, 7, 13, 47, 91, 329, 611, 4277

The HCF of 8537,4277 is 1.

Lets's calculate GCF of 8537,4277

Greatest Common Factor (GCF) of 8537,4277 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8537,4277 By Matching Biggest Common Factor Method

Now, list down the factors of 8537

1,8537

Now, list down the factors of 4277

1,7,13,47,91,329,611,4277

Greatest Common Factor

We found the factors 8537,4277 . The biggest common factor number is the GCF number.
So the greatest common factor 8537,4277 is 1.

Lets's calculate LCM of 218,4262

Lowest Common Multiple of 218,4262 using Common Division

2	218, 4262
	109, 2131

∴ So the LCM of the given numbers is 2 x 109 x 2131 = 464558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464558

Therefore, the GCF of Fractions 8537/218,4277/4262 is 1/464558

Least Common Multiple of 218,4262 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 218,4262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,4262) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(218,4262) x common factors =2 x 1 = 2

LCM(218,4262) = ( 218 × 4262 ) / 2

LCM(218,4262) = 929116 / 2

LCM(218,4262) = 464558

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8537/218, 4277/4262

1. What is the HCF of 8537,4277?

The HCF of 8537,4277 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 8537/218, 4277/4262?

Answer: GCF of Numerators as per given numbers 8537/218, 4277/4262 is

GCF of Numerators i.e. for 8537,4277 is 1

LCM of denominators i.e. for 218,4262 is 464558.

Thus, GCF of Fractions is 1/464558.Finally, GCF of Fractions for 8537/218, 4277/4262 is 1/464558.