Greatest Common Factor of 5364/470, 7352/4845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5364/470, 7352/4845

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 5364/470,7352/4845

Given fractions are 5364/470,7352/4845

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 5364,7352

Greatest Common Factor of Numerators i.e. GCF of 5364,7352 is 4 .

LCM of Denominators means LCM of 470,4845 as per the given fractions.

LCM of 470,4845 is 455430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5364,7352

GCF of Fractions 5364/470,7352/4845 is 4/455430

2 5364, 7352
2 2682, 3676
1341, 1838

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5364,7352 By Matching Biggest Common Factor Method

Greatest Common Factor of 5364,7352 By Matching Biggest Common Factor Method

Factors of 5364

List of positive integer factors of 5364 that divides 5364 without a remainder.

1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364

Factors of 7352

List of positive integer factors of 7352 that divides 7352 without a remainder.

1,2,4,8,919,1838,3676,7352

Greatest Common Factor

We found the factors 5364,7352 . The biggest common factor number is the GCF number.
So the greatest common factor 5364,7352 is 4.

Lets's calculate LCM of 470,4845

5 470, 4845
94, 969

∴ So the LCM of the given numbers is 5 x 94 x 969 = 455430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/455430

Therefore, the GCF of Fractions 5364/470,7352/4845 is 4/455430

Least Common Multiple of 470,4845 with GCF Formula

Least Common Multiple of 470,4845 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 470,4845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,4845) = 5

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

GCF(470,4845) x common factors =5 x 1 = 5

LCM(470,4845) = ( 470 × 4845 ) / 5

LCM(470,4845) = 2277150 / 5

LCM(470,4845) = 455430


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 5364/470, 7352/4845

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 5364/470, 7352/4845?

Answer: GCF of Numerators as per given numbers 5364/470, 7352/4845 is

GCF of Numerators i.e. for 5364,7352 is 4

LCM of denominators i.e. for 470,4845 is 455430.

Thus, GCF of Fractions is 4/455430.Finally, GCF of Fractions for 5364/470, 7352/4845 is 4/455430.