Greatest Common Factor of 275/294, 625/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 275/294, 625/784

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 275/294,625/784

Given fractions are 275/294,625/784

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 275,625

Greatest Common Factor of Numerators i.e. GCF of 275,625 is 25 .

LCM of Denominators means LCM of 294,784 as per the given fractions.

LCM of 294,784 is 2352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 275,625

GCF of Fractions 275/294,625/784 is 25/2352

5 275, 625
5 55, 125
11, 25

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 275,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,625 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 275,625 . The biggest common factor number is the GCF number.
So the greatest common factor 275,625 is 25.

Lets's calculate LCM of 294,784

2 294, 784
7 147, 392
7 21, 56
3, 8

∴ So the LCM of the given numbers is 2 x 7 x 7 x 3 x 8 = 2352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/2352

Therefore, the GCF of Fractions 275/294,625/784 is 25/2352

Least Common Multiple of 294,784 with GCF Formula

Least Common Multiple of 294,784 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 294,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,784) = 98

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

GCF(294,784) x common factors =98 x 1 = 98

LCM(294,784) = ( 294 × 784 ) / 98

LCM(294,784) = 230496 / 98

LCM(294,784) = 2352


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 275/294, 625/784

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 275/294, 625/784?

Answer: GCF of Numerators as per given numbers 275/294, 625/784 is

GCF of Numerators i.e. for 275,625 is 25

LCM of denominators i.e. for 294,784 is 2352.

Thus, GCF of Fractions is 25/2352.Finally, GCF of Fractions for 275/294, 625/784 is 25/2352.