Greatest Common Factor of 119/2909, 966/1254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 119/2909, 966/1254

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 119/2909,966/1254

Given fractions are 119/2909,966/1254

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 119,966

Greatest Common Factor of Numerators i.e. GCF of 119,966 is 7 .

LCM of Denominators means LCM of 2909,1254 as per the given fractions.

LCM of 2909,1254 is 3647886 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 119,966

GCF of Fractions 119/2909,966/1254 is 7/3647886

7 119, 966
17, 138

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 119,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,966 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 119,966 . The biggest common factor number is the GCF number.
So the greatest common factor 119,966 is 7.

Lets's calculate LCM of 2909,1254

Given numbers has no common factors except 1. So, there LCM is their product i.e 3647886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3647886

Therefore, the GCF of Fractions 119/2909,966/1254 is 7/3647886

Least Common Multiple of 2909,1254 with GCF Formula

Least Common Multiple of 2909,1254 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 2909,1254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2909,1254) = 1

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

GCF(2909,1254) x common factors =1 x 1 = 1

LCM(2909,1254) = ( 2909 × 1254 ) / 1

LCM(2909,1254) = 3647886 / 1

LCM(2909,1254) = 3647886


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 119/2909, 966/1254

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 119/2909, 966/1254?

Answer: GCF of Numerators as per given numbers 119/2909, 966/1254 is

GCF of Numerators i.e. for 119,966 is 7

LCM of denominators i.e. for 2909,1254 is 3647886.

Thus, GCF of Fractions is 7/3647886.Finally, GCF of Fractions for 119/2909, 966/1254 is 7/3647886.