Greatest Common Factor of 884/64, 519/15, 252/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 884/64, 519/15, 252/744

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 884/64,519/15,252/744

Given fractions are 884/64,519/15,252/744

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 884,519,252

Greatest Common Factor of Numerators i.e. GCF of 884,519,252 is 1 .

LCM of Denominators means LCM of 64,15,744 as per the given fractions.

LCM of 64,15,744 is 29760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 884,519,252

GCF of Fractions 884/64,519/15,252/744 is 1/29760

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

Greatest Common Factor of 884,519,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,519,252 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 884,519,252 . The biggest common factor number is the GCF number.
So the greatest common factor 884,519,252 is 1.

Lets's calculate LCM of 64,15,744

2 64, 15, 744
2 32, 15, 372
2 16, 15, 186
3 8, 15, 93
8, 5, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 8 x 5 x 31 = 29760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29760

Therefore, the GCF of Fractions 884/64,519/15,252/744 is 1/29760

Least Common Multiple of 64,15,744 with GCF Formula

Least Common Multiple of 64,15,744 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 64,15,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,15,744) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(64,15,744) x common factors =1 x 24 = 24

LCM(64,15,744) = ( 64 × 15 × 744 ) / 24

LCM(64,15,744) = 714240 / 24

LCM(64,15,744) = 29760


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 884/64, 519/15, 252/744

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 884/64, 519/15, 252/744?

Answer: GCF of Numerators as per given numbers 884/64, 519/15, 252/744 is

GCF of Numerators i.e. for 884,519,252 is 1

LCM of denominators i.e. for 64,15,744 is 29760.

Thus, GCF of Fractions is 1/29760.Finally, GCF of Fractions for 884/64, 519/15, 252/744 is 1/29760.