Greatest Common Factor of 7395/575, 1032/5680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7395/575, 1032/5680

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 7395/575,1032/5680

Given fractions are 7395/575,1032/5680

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 7395,1032

Greatest Common Factor of Numerators i.e. GCF of 7395,1032 is 3 .

LCM of Denominators means LCM of 575,5680 as per the given fractions.

LCM of 575,5680 is 653200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7395,1032

GCF of Fractions 7395/575,1032/5680 is 3/653200

3 7395, 1032
2465, 344

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

Greatest Common Factor of 7395,1032 By Matching Biggest Common Factor Method

Greatest Common Factor of 7395,1032 By Matching Biggest Common Factor Method

Factors of 7395

List of positive integer factors of 7395 that divides 7395 without a remainder.

1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395

Factors of 1032

List of positive integer factors of 1032 that divides 1032 without a remainder.

1,2,3,4,6,8,12,24,43,86,129,172,258,344,516,1032

Greatest Common Factor

We found the factors 7395,1032 . The biggest common factor number is the GCF number.
So the greatest common factor 7395,1032 is 3.

Lets's calculate LCM of 575,5680

5 575, 5680
115, 1136

∴ So the LCM of the given numbers is 5 x 115 x 1136 = 653200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/653200

Therefore, the GCF of Fractions 7395/575,1032/5680 is 3/653200

Least Common Multiple of 575,5680 with GCF Formula

Least Common Multiple of 575,5680 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 575,5680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,5680) = 5

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

GCF(575,5680) x common factors =5 x 1 = 5

LCM(575,5680) = ( 575 × 5680 ) / 5

LCM(575,5680) = 3266000 / 5

LCM(575,5680) = 653200


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 7395/575, 1032/5680

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 7395/575, 1032/5680?

Answer: GCF of Numerators as per given numbers 7395/575, 1032/5680 is

GCF of Numerators i.e. for 7395,1032 is 3

LCM of denominators i.e. for 575,5680 is 653200.

Thus, GCF of Fractions is 3/653200.Finally, GCF of Fractions for 7395/575, 1032/5680 is 3/653200.