Greatest Common Factor of 949/13, 294/78, 974/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 949/13, 294/78, 974/328

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 949/13,294/78,974/328

Given fractions are 949/13,294/78,974/328

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 949,294,974

Greatest Common Factor of Numerators i.e. GCF of 949,294,974 is 1 .

LCM of Denominators means LCM of 13,78,328 as per the given fractions.

LCM of 13,78,328 is 12792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 949,294,974

GCF of Fractions 949/13,294/78,974/328 is 1/12792

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 949,294,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,294,974 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 949,294,974 . The biggest common factor number is the GCF number.
So the greatest common factor 949,294,974 is 1.

Lets's calculate LCM of 13,78,328

2 13, 78, 328
13 13, 39, 164
1, 3, 164

∴ So the LCM of the given numbers is 2 x 13 x 1 x 3 x 164 = 12792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12792

Therefore, the GCF of Fractions 949/13,294/78,974/328 is 1/12792

Least Common Multiple of 13,78,328 with GCF Formula

Least Common Multiple of 13,78,328 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 13,78,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,78,328) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(13,78,328) x common factors =1 x 26 = 26

LCM(13,78,328) = ( 13 × 78 × 328 ) / 26

LCM(13,78,328) = 332592 / 26

LCM(13,78,328) = 12792


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 949/13, 294/78, 974/328

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 949/13, 294/78, 974/328?

Answer: GCF of Numerators as per given numbers 949/13, 294/78, 974/328 is

GCF of Numerators i.e. for 949,294,974 is 1

LCM of denominators i.e. for 13,78,328 is 12792.

Thus, GCF of Fractions is 1/12792.Finally, GCF of Fractions for 949/13, 294/78, 974/328 is 1/12792.