Greatest Common Factor of 468/12, 557/59, 223/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 468/12, 557/59, 223/144

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 468/12,557/59,223/144

Given fractions are 468/12,557/59,223/144

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 468,557,223

Greatest Common Factor of Numerators i.e. GCF of 468,557,223 is 1 .

LCM of Denominators means LCM of 12,59,144 as per the given fractions.

LCM of 12,59,144 is 8496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 468,557,223

GCF of Fractions 468/12,557/59,223/144 is 1/8496

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

Greatest Common Factor of 468,557,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,557,223 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 468,557,223 . The biggest common factor number is the GCF number.
So the greatest common factor 468,557,223 is 1.

Lets's calculate LCM of 12,59,144

2 12, 59, 144
2 6, 59, 72
3 3, 59, 36
1, 59, 12

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 59 x 12 = 8496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8496

Therefore, the GCF of Fractions 468/12,557/59,223/144 is 1/8496

Least Common Multiple of 12,59,144 with GCF Formula

Least Common Multiple of 12,59,144 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 12,59,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,59,144) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,59,144) x common factors =1 x 12 = 12

LCM(12,59,144) = ( 12 × 59 × 144 ) / 12

LCM(12,59,144) = 101952 / 12

LCM(12,59,144) = 8496


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 468/12, 557/59, 223/144

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 468/12, 557/59, 223/144?

Answer: GCF of Numerators as per given numbers 468/12, 557/59, 223/144 is

GCF of Numerators i.e. for 468,557,223 is 1

LCM of denominators i.e. for 12,59,144 is 8496.

Thus, GCF of Fractions is 1/8496.Finally, GCF of Fractions for 468/12, 557/59, 223/144 is 1/8496.