Greatest Common Factor of 678/738, 878/901, 314/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 678/738, 878/901, 314/976

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 678/738,878/901,314/976

Given fractions are 678/738,878/901,314/976

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 678,878,314

Greatest Common Factor of Numerators i.e. GCF of 678,878,314 is 2 .

LCM of Denominators means LCM of 738,901,976 as per the given fractions.

LCM of 738,901,976 is 324489744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 678,878,314

GCF of Fractions 678/738,878/901,314/976 is 2/324489744

2 678, 878, 314
339, 439, 157

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

Greatest Common Factor of 678,878,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,878,314 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 678,878,314 . The biggest common factor number is the GCF number.
So the greatest common factor 678,878,314 is 2.

Lets's calculate LCM of 738,901,976

2 738, 901, 976
369, 901, 488

∴ So the LCM of the given numbers is 2 x 369 x 901 x 488 = 324489744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/324489744

Therefore, the GCF of Fractions 678/738,878/901,314/976 is 2/324489744

Least Common Multiple of 738,901,976 with GCF Formula

Least Common Multiple of 738,901,976 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 738,901,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,901,976) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(738,901,976) x common factors =1 x 2 = 2

LCM(738,901,976) = ( 738 × 901 × 976 ) / 2

LCM(738,901,976) = 648979488 / 2

LCM(738,901,976) = 324489744


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 678/738, 878/901, 314/976

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 678/738, 878/901, 314/976?

Answer: GCF of Numerators as per given numbers 678/738, 878/901, 314/976 is

GCF of Numerators i.e. for 678,878,314 is 2

LCM of denominators i.e. for 738,901,976 is 324489744.

Thus, GCF of Fractions is 2/324489744.Finally, GCF of Fractions for 678/738, 878/901, 314/976 is 2/324489744.