Greatest Common Factor of 230/72, 978/49, 956/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 230/72, 978/49, 956/400

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 230/72,978/49,956/400

Given fractions are 230/72,978/49,956/400

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 230,978,956

Greatest Common Factor of Numerators i.e. GCF of 230,978,956 is 2 .

LCM of Denominators means LCM of 72,49,400 as per the given fractions.

LCM of 72,49,400 is 176400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 230,978,956

GCF of Fractions 230/72,978/49,956/400 is 2/176400

2 230, 978, 956
115, 489, 478

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

Greatest Common Factor of 230,978,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,978,956 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

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 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 230,978,956 . The biggest common factor number is the GCF number.
So the greatest common factor 230,978,956 is 2.

Lets's calculate LCM of 72,49,400

2 72, 49, 400
2 36, 49, 200
2 18, 49, 100
9, 49, 50

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 49 x 50 = 176400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176400

Therefore, the GCF of Fractions 230/72,978/49,956/400 is 2/176400

Least Common Multiple of 72,49,400 with GCF Formula

Least Common Multiple of 72,49,400 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 72,49,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,49,400) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(72,49,400) x common factors =1 x 8 = 8

LCM(72,49,400) = ( 72 × 49 × 400 ) / 8

LCM(72,49,400) = 1411200 / 8

LCM(72,49,400) = 176400


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 230/72, 978/49, 956/400

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 230/72, 978/49, 956/400?

Answer: GCF of Numerators as per given numbers 230/72, 978/49, 956/400 is

GCF of Numerators i.e. for 230,978,956 is 2

LCM of denominators i.e. for 72,49,400 is 176400.

Thus, GCF of Fractions is 2/176400.Finally, GCF of Fractions for 230/72, 978/49, 956/400 is 2/176400.