Greatest Common Factor of 457/618, 1339/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 457/618, 1339/525

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 457/618,1339/525

Given fractions are 457/618,1339/525

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 457,1339

Greatest Common Factor of Numerators i.e. GCF of 457,1339 is 1 .

LCM of Denominators means LCM of 618,525 as per the given fractions.

LCM of 618,525 is 108150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 457,1339

GCF of Fractions 457/618,1339/525 is 1/108150

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

Greatest Common Factor of 457,1339 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,1339 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 1339

List of positive integer factors of 1339 that divides 1339 without a remainder.

1,13,103,1339

Greatest Common Factor

We found the factors 457,1339 . The biggest common factor number is the GCF number.
So the greatest common factor 457,1339 is 1.

Lets's calculate LCM of 618,525

3 618, 525
206, 175

∴ So the LCM of the given numbers is 3 x 206 x 175 = 108150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108150

Therefore, the GCF of Fractions 457/618,1339/525 is 1/108150

Least Common Multiple of 618,525 with GCF Formula

Least Common Multiple of 618,525 with GCF Formula

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

We need to calculate greatest common factor of 618,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,525) = 3

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

GCF(618,525) x common factors =3 x 1 = 3

LCM(618,525) = ( 618 × 525 ) / 3

LCM(618,525) = 324450 / 3

LCM(618,525) = 108150


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 457/618, 1339/525

1. 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.

2. What is the GCF of Fractions for 457/618, 1339/525?

Answer: GCF of Numerators as per given numbers 457/618, 1339/525 is

GCF of Numerators i.e. for 457,1339 is 1

LCM of denominators i.e. for 618,525 is 108150.

Thus, GCF of Fractions is 1/108150.Finally, GCF of Fractions for 457/618, 1339/525 is 1/108150.