Greatest Common Factor of 7359/45, 6469/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7359/45, 6469/228

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 7359/45,6469/228

Given fractions are 7359/45,6469/228

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 7359,6469

Greatest Common Factor of Numerators i.e. GCF of 7359,6469 is 1 .

LCM of Denominators means LCM of 45,228 as per the given fractions.

LCM of 45,228 is 3420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7359,6469

GCF of Fractions 7359/45,6469/228 is 1/3420

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

Greatest Common Factor of 7359,6469 By Matching Biggest Common Factor Method

Greatest Common Factor of 7359,6469 By Matching Biggest Common Factor Method

Factors of 7359

List of positive integer factors of 7359 that divides 7359 without a remainder.

1,3,11,33,223,669,2453,7359

Factors of 6469

List of positive integer factors of 6469 that divides 6469 without a remainder.

1,6469

Greatest Common Factor

We found the factors 7359,6469 . The biggest common factor number is the GCF number.
So the greatest common factor 7359,6469 is 1.

Lets's calculate LCM of 45,228

3 45, 228
15, 76

∴ So the LCM of the given numbers is 3 x 15 x 76 = 3420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3420

Therefore, the GCF of Fractions 7359/45,6469/228 is 1/3420

Least Common Multiple of 45,228 with GCF Formula

Least Common Multiple of 45,228 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 45,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,228) = 3

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

GCF(45,228) x common factors =3 x 1 = 3

LCM(45,228) = ( 45 × 228 ) / 3

LCM(45,228) = 10260 / 3

LCM(45,228) = 3420


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 7359/45, 6469/228

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 7359/45, 6469/228?

Answer: GCF of Numerators as per given numbers 7359/45, 6469/228 is

GCF of Numerators i.e. for 7359,6469 is 1

LCM of denominators i.e. for 45,228 is 3420.

Thus, GCF of Fractions is 1/3420.Finally, GCF of Fractions for 7359/45, 6469/228 is 1/3420.