Greatest Common Factor of 7665/222, 7453/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7665/222, 7453/135

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 7665/222,7453/135

Given fractions are 7665/222,7453/135

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 7665,7453

Greatest Common Factor of Numerators i.e. GCF of 7665,7453 is 1 .

LCM of Denominators means LCM of 222,135 as per the given fractions.

LCM of 222,135 is 9990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7665,7453

GCF of Fractions 7665/222,7453/135 is 1/9990

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

Greatest Common Factor of 7665,7453 By Matching Biggest Common Factor Method

Greatest Common Factor of 7665,7453 By Matching Biggest Common Factor Method

Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665

Factors of 7453

List of positive integer factors of 7453 that divides 7453 without a remainder.

1,29,257,7453

Greatest Common Factor

We found the factors 7665,7453 . The biggest common factor number is the GCF number.
So the greatest common factor 7665,7453 is 1.

Lets's calculate LCM of 222,135

3 222, 135
74, 45

∴ So the LCM of the given numbers is 3 x 74 x 45 = 9990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9990

Therefore, the GCF of Fractions 7665/222,7453/135 is 1/9990

Least Common Multiple of 222,135 with GCF Formula

Least Common Multiple of 222,135 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 222,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,135) = 3

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

GCF(222,135) x common factors =3 x 1 = 3

LCM(222,135) = ( 222 × 135 ) / 3

LCM(222,135) = 29970 / 3

LCM(222,135) = 9990


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 7665/222, 7453/135

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 7665/222, 7453/135?

Answer: GCF of Numerators as per given numbers 7665/222, 7453/135 is

GCF of Numerators i.e. for 7665,7453 is 1

LCM of denominators i.e. for 222,135 is 9990.

Thus, GCF of Fractions is 1/9990.Finally, GCF of Fractions for 7665/222, 7453/135 is 1/9990.