Greatest Common Factor of 7545/746, 2232/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7545/746, 2232/548

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 7545/746,2232/548

Given fractions are 7545/746,2232/548

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 7545,2232

Greatest Common Factor of Numerators i.e. GCF of 7545,2232 is 3 .

LCM of Denominators means LCM of 746,548 as per the given fractions.

LCM of 746,548 is 204404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7545,2232

GCF of Fractions 7545/746,2232/548 is 3/204404

3 7545, 2232
2515, 744

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7545,2232 By Matching Biggest Common Factor Method

Greatest Common Factor of 7545,2232 By Matching Biggest Common Factor Method

Factors of 7545

List of positive integer factors of 7545 that divides 7545 without a remainder.

1,3,5,15,503,1509,2515,7545

Factors of 2232

List of positive integer factors of 2232 that divides 2232 without a remainder.

1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232

Greatest Common Factor

We found the factors 7545,2232 . The biggest common factor number is the GCF number.
So the greatest common factor 7545,2232 is 3.

Lets's calculate LCM of 746,548

2 746, 548
373, 274

∴ So the LCM of the given numbers is 2 x 373 x 274 = 204404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/204404

Therefore, the GCF of Fractions 7545/746,2232/548 is 3/204404

Least Common Multiple of 746,548 with GCF Formula

Least Common Multiple of 746,548 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 746,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,548) = 2

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

GCF(746,548) x common factors =2 x 1 = 2

LCM(746,548) = ( 746 × 548 ) / 2

LCM(746,548) = 408808 / 2

LCM(746,548) = 204404


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 7545/746, 2232/548

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 7545/746, 2232/548?

Answer: GCF of Numerators as per given numbers 7545/746, 2232/548 is

GCF of Numerators i.e. for 7545,2232 is 3

LCM of denominators i.e. for 746,548 is 204404.

Thus, GCF of Fractions is 3/204404.Finally, GCF of Fractions for 7545/746, 2232/548 is 3/204404.