Greatest Common Factor of 957/218, 149/459, 288/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 957/218, 149/459, 288/144

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 957/218,149/459,288/144

Given fractions are 957/218,149/459,288/144

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 957,149,288

Greatest Common Factor of Numerators i.e. GCF of 957,149,288 is 1 .

LCM of Denominators means LCM of 218,459,144 as per the given fractions.

LCM of 218,459,144 is 800496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 957,149,288

GCF of Fractions 957/218,149/459,288/144 is 1/800496

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

Greatest Common Factor of 957,149,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 957,149,288 By Matching Biggest Common Factor Method

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 149

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

1,149

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 957,149,288 . The biggest common factor number is the GCF number.
So the greatest common factor 957,149,288 is 1.

Lets's calculate LCM of 218,459,144

2 218, 459, 144
3 109, 459, 72
3 109, 153, 24
109, 51, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 109 x 51 x 8 = 800496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/800496

Therefore, the GCF of Fractions 957/218,149/459,288/144 is 1/800496

Least Common Multiple of 218,459,144 with GCF Formula

Least Common Multiple of 218,459,144 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 218,459,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,459,144) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(218,459,144) x common factors =1 x 18 = 18

LCM(218,459,144) = ( 218 × 459 × 144 ) / 18

LCM(218,459,144) = 14408928 / 18

LCM(218,459,144) = 800496


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 957/218, 149/459, 288/144

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 957/218, 149/459, 288/144?

Answer: GCF of Numerators as per given numbers 957/218, 149/459, 288/144 is

GCF of Numerators i.e. for 957,149,288 is 1

LCM of denominators i.e. for 218,459,144 is 800496.

Thus, GCF of Fractions is 1/800496.Finally, GCF of Fractions for 957/218, 149/459, 288/144 is 1/800496.