Greatest Common Factor of 438/12, 416/57, 289/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 438/12, 416/57, 289/714

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 438/12,416/57,289/714

Given fractions are 438/12,416/57,289/714

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 438,416,289

Greatest Common Factor of Numerators i.e. GCF of 438,416,289 is 1 .

LCM of Denominators means LCM of 12,57,714 as per the given fractions.

LCM of 12,57,714 is 27132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 438,416,289

GCF of Fractions 438/12,416/57,289/714 is 1/27132

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

Greatest Common Factor of 438,416,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,416,289 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 438,416,289 . The biggest common factor number is the GCF number.
So the greatest common factor 438,416,289 is 1.

Lets's calculate LCM of 12,57,714

2 12, 57, 714
3 6, 57, 357
2, 19, 119

∴ So the LCM of the given numbers is 2 x 3 x 2 x 19 x 119 = 27132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27132

Therefore, the GCF of Fractions 438/12,416/57,289/714 is 1/27132

Least Common Multiple of 12,57,714 with GCF Formula

Least Common Multiple of 12,57,714 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 12,57,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,57,714) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(12,57,714) x common factors =3 x 6 = 18

LCM(12,57,714) = ( 12 × 57 × 714 ) / 18

LCM(12,57,714) = 488376 / 18

LCM(12,57,714) = 27132


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 438/12, 416/57, 289/714

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 438/12, 416/57, 289/714?

Answer: GCF of Numerators as per given numbers 438/12, 416/57, 289/714 is

GCF of Numerators i.e. for 438,416,289 is 1

LCM of denominators i.e. for 12,57,714 is 27132.

Thus, GCF of Fractions is 1/27132.Finally, GCF of Fractions for 438/12, 416/57, 289/714 is 1/27132.