Greatest Common Factor of 9280/848, 7504/5409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9280/848, 7504/5409

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 9280/848,7504/5409

Given fractions are 9280/848,7504/5409

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 9280,7504

Greatest Common Factor of Numerators i.e. GCF of 9280,7504 is 16 .

LCM of Denominators means LCM of 848,5409 as per the given fractions.

LCM of 848,5409 is 4586832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9280,7504

GCF of Fractions 9280/848,7504/5409 is 16/4586832

2 9280, 7504
2 4640, 3752
2 2320, 1876
2 1160, 938
580, 469

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 9280,7504 By Matching Biggest Common Factor Method

Greatest Common Factor of 9280,7504 By Matching Biggest Common Factor Method

Factors of 9280

List of positive integer factors of 9280 that divides 9280 without a remainder.

1,2,4,5,8,10,16,20,29,32,40,58,64,80,116,145,160,232,290,320,464,580,928,1160,1856,2320,4640,9280

Factors of 7504

List of positive integer factors of 7504 that divides 7504 without a remainder.

1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504

Greatest Common Factor

We found the factors 9280,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 9280,7504 is 16.

Lets's calculate LCM of 848,5409

Given numbers has no common factors except 1. So, there LCM is their product i.e 4586832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4586832

Therefore, the GCF of Fractions 9280/848,7504/5409 is 16/4586832

Least Common Multiple of 848,5409 with GCF Formula

Least Common Multiple of 848,5409 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 848,5409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,5409) = 1

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

GCF(848,5409) x common factors =1 x 1 = 1

LCM(848,5409) = ( 848 × 5409 ) / 1

LCM(848,5409) = 4586832 / 1

LCM(848,5409) = 4586832


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 9280/848, 7504/5409

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 9280/848, 7504/5409?

Answer: GCF of Numerators as per given numbers 9280/848, 7504/5409 is

GCF of Numerators i.e. for 9280,7504 is 16

LCM of denominators i.e. for 848,5409 is 4586832.

Thus, GCF of Fractions is 16/4586832.Finally, GCF of Fractions for 9280/848, 7504/5409 is 16/4586832.