Greatest Common Factor of 5310/52, 7364/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5310/52, 7364/384

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 5310/52,7364/384

Given fractions are 5310/52,7364/384

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 5310,7364

Greatest Common Factor of Numerators i.e. GCF of 5310,7364 is 2 .

LCM of Denominators means LCM of 52,384 as per the given fractions.

LCM of 52,384 is 4992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5310,7364

GCF of Fractions 5310/52,7364/384 is 2/4992

2 5310, 7364
2655, 3682

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

Greatest Common Factor of 5310,7364 By Matching Biggest Common Factor Method

Greatest Common Factor of 5310,7364 By Matching Biggest Common Factor Method

Factors of 5310

List of positive integer factors of 5310 that divides 5310 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310

Factors of 7364

List of positive integer factors of 7364 that divides 7364 without a remainder.

1,2,4,7,14,28,263,526,1052,1841,3682,7364

Greatest Common Factor

We found the factors 5310,7364 . The biggest common factor number is the GCF number.
So the greatest common factor 5310,7364 is 2.

Lets's calculate LCM of 52,384

2 52, 384
2 26, 192
13, 96

∴ So the LCM of the given numbers is 2 x 2 x 13 x 96 = 4992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4992

Therefore, the GCF of Fractions 5310/52,7364/384 is 2/4992

Least Common Multiple of 52,384 with GCF Formula

Least Common Multiple of 52,384 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 52,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,384) = 4

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

GCF(52,384) x common factors =4 x 1 = 4

LCM(52,384) = ( 52 × 384 ) / 4

LCM(52,384) = 19968 / 4

LCM(52,384) = 4992


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 5310/52, 7364/384

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 5310/52, 7364/384?

Answer: GCF of Numerators as per given numbers 5310/52, 7364/384 is

GCF of Numerators i.e. for 5310,7364 is 2

LCM of denominators i.e. for 52,384 is 4992.

Thus, GCF of Fractions is 2/4992.Finally, GCF of Fractions for 5310/52, 7364/384 is 2/4992.