Greatest Common Factor of 5157/45, 9984/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5157/45, 9984/130

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 5157/45,9984/130

Given fractions are 5157/45,9984/130

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 5157,9984

Greatest Common Factor of Numerators i.e. GCF of 5157,9984 is 3 .

LCM of Denominators means LCM of 45,130 as per the given fractions.

LCM of 45,130 is 1170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5157,9984

GCF of Fractions 5157/45,9984/130 is 3/1170

3 5157, 9984
1719, 3328

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5157,9984 By Matching Biggest Common Factor Method

Greatest Common Factor of 5157,9984 By Matching Biggest Common Factor Method

Factors of 5157

List of positive integer factors of 5157 that divides 5157 without a remainder.

1,3,9,27,191,573,1719,5157

Factors of 9984

List of positive integer factors of 9984 that divides 9984 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,256,312,384,416,624,768,832,1248,1664,2496,3328,4992,9984

Greatest Common Factor

We found the factors 5157,9984 . The biggest common factor number is the GCF number.
So the greatest common factor 5157,9984 is 3.

Lets's calculate LCM of 45,130

5 45, 130
9, 26

∴ So the LCM of the given numbers is 5 x 9 x 26 = 1170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1170

Therefore, the GCF of Fractions 5157/45,9984/130 is 3/1170

Least Common Multiple of 45,130 with GCF Formula

Least Common Multiple of 45,130 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 45,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,130) = 5

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

GCF(45,130) x common factors =5 x 1 = 5

LCM(45,130) = ( 45 × 130 ) / 5

LCM(45,130) = 5850 / 5

LCM(45,130) = 1170


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 5157/45, 9984/130

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 5157/45, 9984/130?

Answer: GCF of Numerators as per given numbers 5157/45, 9984/130 is

GCF of Numerators i.e. for 5157,9984 is 3

LCM of denominators i.e. for 45,130 is 1170.

Thus, GCF of Fractions is 3/1170.Finally, GCF of Fractions for 5157/45, 9984/130 is 3/1170.