Greatest Common Factor of 149/40, 970/20, 956/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/40, 970/20, 956/288

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 149/40,970/20,956/288

Given fractions are 149/40,970/20,956/288

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 149,970,956

Greatest Common Factor of Numerators i.e. GCF of 149,970,956 is 1 .

LCM of Denominators means LCM of 40,20,288 as per the given fractions.

LCM of 40,20,288 is 1440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,970,956

GCF of Fractions 149/40,970/20,956/288 is 1/1440

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

Greatest Common Factor of 149,970,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,970,956 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

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 149,970,956 . The biggest common factor number is the GCF number.
So the greatest common factor 149,970,956 is 1.

Lets's calculate LCM of 40,20,288

2 40, 20, 288
2 20, 10, 144
2 5, 10, 72
5 5, 5, 36
1, 1, 36

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 1 x 36 = 1440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1440

Therefore, the GCF of Fractions 149/40,970/20,956/288 is 1/1440

Least Common Multiple of 40,20,288 with GCF Formula

Least Common Multiple of 40,20,288 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 40,20,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,20,288) = 4

common factors(in case of two or more numbers have common factors) = 40

GCF(40,20,288) x common factors =4 x 40 = 160

LCM(40,20,288) = ( 40 × 20 × 288 ) / 160

LCM(40,20,288) = 230400 / 160

LCM(40,20,288) = 1440


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 149/40, 970/20, 956/288

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 149/40, 970/20, 956/288?

Answer: GCF of Numerators as per given numbers 149/40, 970/20, 956/288 is

GCF of Numerators i.e. for 149,970,956 is 1

LCM of denominators i.e. for 40,20,288 is 1440.

Thus, GCF of Fractions is 1/1440.Finally, GCF of Fractions for 149/40, 970/20, 956/288 is 1/1440.