Greatest Common Factor of 504/789, 8704/3853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/789, 8704/3853

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 504/789,8704/3853

Given fractions are 504/789,8704/3853

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 504,8704

Greatest Common Factor of Numerators i.e. GCF of 504,8704 is 8 .

LCM of Denominators means LCM of 789,3853 as per the given fractions.

LCM of 789,3853 is 3040017 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,8704

GCF of Fractions 504/789,8704/3853 is 8/3040017

2 504, 8704
2 252, 4352
2 126, 2176
63, 1088

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 504,8704 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,8704 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 8704

List of positive integer factors of 8704 that divides 8704 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704

Greatest Common Factor

We found the factors 504,8704 . The biggest common factor number is the GCF number.
So the greatest common factor 504,8704 is 8.

Lets's calculate LCM of 789,3853

Given numbers has no common factors except 1. So, there LCM is their product i.e 3040017

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3040017

Therefore, the GCF of Fractions 504/789,8704/3853 is 8/3040017

Least Common Multiple of 789,3853 with GCF Formula

Least Common Multiple of 789,3853 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 789,3853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,3853) = 1

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

GCF(789,3853) x common factors =1 x 1 = 1

LCM(789,3853) = ( 789 × 3853 ) / 1

LCM(789,3853) = 3040017 / 1

LCM(789,3853) = 3040017


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 504/789, 8704/3853

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 504/789, 8704/3853?

Answer: GCF of Numerators as per given numbers 504/789, 8704/3853 is

GCF of Numerators i.e. for 504,8704 is 8

LCM of denominators i.e. for 789,3853 is 3040017.

Thus, GCF of Fractions is 8/3040017.Finally, GCF of Fractions for 504/789, 8704/3853 is 8/3040017.