Greatest Common Factor of 5304/15, 8960/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5304/15, 8960/266

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 5304/15,8960/266

Given fractions are 5304/15,8960/266

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 5304,8960

Greatest Common Factor of Numerators i.e. GCF of 5304,8960 is 8 .

LCM of Denominators means LCM of 15,266 as per the given fractions.

LCM of 15,266 is 3990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5304,8960

GCF of Fractions 5304/15,8960/266 is 8/3990

2 5304, 8960
2 2652, 4480
2 1326, 2240
663, 1120

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

Greatest Common Factor of 5304,8960 By Matching Biggest Common Factor Method

Greatest Common Factor of 5304,8960 By Matching Biggest Common Factor Method

Factors of 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304

Factors of 8960

List of positive integer factors of 8960 that divides 8960 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960

Greatest Common Factor

We found the factors 5304,8960 . The biggest common factor number is the GCF number.
So the greatest common factor 5304,8960 is 8.

Lets's calculate LCM of 15,266

Given numbers has no common factors except 1. So, there LCM is their product i.e 3990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3990

Therefore, the GCF of Fractions 5304/15,8960/266 is 8/3990

Least Common Multiple of 15,266 with GCF Formula

Least Common Multiple of 15,266 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 15,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,266) = 1

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

GCF(15,266) x common factors =1 x 1 = 1

LCM(15,266) = ( 15 × 266 ) / 1

LCM(15,266) = 3990 / 1

LCM(15,266) = 3990


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 5304/15, 8960/266

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 5304/15, 8960/266?

Answer: GCF of Numerators as per given numbers 5304/15, 8960/266 is

GCF of Numerators i.e. for 5304,8960 is 8

LCM of denominators i.e. for 15,266 is 3990.

Thus, GCF of Fractions is 8/3990.Finally, GCF of Fractions for 5304/15, 8960/266 is 8/3990.