Greatest Common Factor of 1014/40, 5152/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1014/40, 5152/329

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 1014/40,5152/329

Given fractions are 1014/40,5152/329

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 1014,5152

Greatest Common Factor of Numerators i.e. GCF of 1014,5152 is 2 .

LCM of Denominators means LCM of 40,329 as per the given fractions.

LCM of 40,329 is 13160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1014,5152

GCF of Fractions 1014/40,5152/329 is 2/13160

2 1014, 5152
507, 2576

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

Greatest Common Factor of 1014,5152 By Matching Biggest Common Factor Method

Greatest Common Factor of 1014,5152 By Matching Biggest Common Factor Method

Factors of 1014

List of positive integer factors of 1014 that divides 1014 without a remainder.

1,2,3,6,13,26,39,78,169,338,507,1014

Factors of 5152

List of positive integer factors of 5152 that divides 5152 without a remainder.

1,2,4,7,8,14,16,23,28,32,46,56,92,112,161,184,224,322,368,644,736,1288,2576,5152

Greatest Common Factor

We found the factors 1014,5152 . The biggest common factor number is the GCF number.
So the greatest common factor 1014,5152 is 2.

Lets's calculate LCM of 40,329

Given numbers has no common factors except 1. So, there LCM is their product i.e 13160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13160

Therefore, the GCF of Fractions 1014/40,5152/329 is 2/13160

Least Common Multiple of 40,329 with GCF Formula

Least Common Multiple of 40,329 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 40,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,329) = 1

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

GCF(40,329) x common factors =1 x 1 = 1

LCM(40,329) = ( 40 × 329 ) / 1

LCM(40,329) = 13160 / 1

LCM(40,329) = 13160


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 1014/40, 5152/329

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 1014/40, 5152/329?

Answer: GCF of Numerators as per given numbers 1014/40, 5152/329 is

GCF of Numerators i.e. for 1014,5152 is 2

LCM of denominators i.e. for 40,329 is 13160.

Thus, GCF of Fractions is 2/13160.Finally, GCF of Fractions for 1014/40, 5152/329 is 2/13160.