Greatest Common Factor of 978/704, 296/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 978/704, 296/680

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 978/704,296/680

Given fractions are 978/704,296/680

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 978,296

Greatest Common Factor of Numerators i.e. GCF of 978,296 is 2 .

LCM of Denominators means LCM of 704,680 as per the given fractions.

LCM of 704,680 is 59840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 978,296

GCF of Fractions 978/704,296/680 is 2/59840

2 978, 296
489, 148

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

Greatest Common Factor of 978,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,296 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 978,296 . The biggest common factor number is the GCF number.
So the greatest common factor 978,296 is 2.

Lets's calculate LCM of 704,680

2 704, 680
2 352, 340
2 176, 170
88, 85

∴ So the LCM of the given numbers is 2 x 2 x 2 x 88 x 85 = 59840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59840

Therefore, the GCF of Fractions 978/704,296/680 is 2/59840

Least Common Multiple of 704,680 with GCF Formula

Least Common Multiple of 704,680 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 704,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,680) = 8

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

GCF(704,680) x common factors =8 x 1 = 8

LCM(704,680) = ( 704 × 680 ) / 8

LCM(704,680) = 478720 / 8

LCM(704,680) = 59840


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 978/704, 296/680

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 978/704, 296/680?

Answer: GCF of Numerators as per given numbers 978/704, 296/680 is

GCF of Numerators i.e. for 978,296 is 2

LCM of denominators i.e. for 704,680 is 59840.

Thus, GCF of Fractions is 2/59840.Finally, GCF of Fractions for 978/704, 296/680 is 2/59840.