Greatest Common Factor of 392/225, 7295/3360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 392/225, 7295/3360

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 392/225,7295/3360

Given fractions are 392/225,7295/3360

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 392,7295

Greatest Common Factor of Numerators i.e. GCF of 392,7295 is 1 .

LCM of Denominators means LCM of 225,3360 as per the given fractions.

LCM of 225,3360 is 50400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 392,7295

GCF of Fractions 392/225,7295/3360 is 1/50400

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

Greatest Common Factor of 392,7295 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,7295 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 7295

List of positive integer factors of 7295 that divides 7295 without a remainder.

1,5,1459,7295

Greatest Common Factor

We found the factors 392,7295 . The biggest common factor number is the GCF number.
So the greatest common factor 392,7295 is 1.

Lets's calculate LCM of 225,3360

3 225, 3360
5 75, 1120
15, 224

∴ So the LCM of the given numbers is 3 x 5 x 15 x 224 = 50400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50400

Therefore, the GCF of Fractions 392/225,7295/3360 is 1/50400

Least Common Multiple of 225,3360 with GCF Formula

Least Common Multiple of 225,3360 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 225,3360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,3360) = 15

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

GCF(225,3360) x common factors =15 x 1 = 15

LCM(225,3360) = ( 225 × 3360 ) / 15

LCM(225,3360) = 756000 / 15

LCM(225,3360) = 50400


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 392/225, 7295/3360

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 392/225, 7295/3360?

Answer: GCF of Numerators as per given numbers 392/225, 7295/3360 is

GCF of Numerators i.e. for 392,7295 is 1

LCM of denominators i.e. for 225,3360 is 50400.

Thus, GCF of Fractions is 1/50400.Finally, GCF of Fractions for 392/225, 7295/3360 is 1/50400.