Greatest Common Factor of 27/28, 439/69, 312/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/28, 439/69, 312/448

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 27/28,439/69,312/448

Given fractions are 27/28,439/69,312/448

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 27,439,312

Greatest Common Factor of Numerators i.e. GCF of 27,439,312 is 1 .

LCM of Denominators means LCM of 28,69,448 as per the given fractions.

LCM of 28,69,448 is 30912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,439,312

GCF of Fractions 27/28,439/69,312/448 is 1/30912

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

Greatest Common Factor of 27,439,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,439,312 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 27,439,312 . The biggest common factor number is the GCF number.
So the greatest common factor 27,439,312 is 1.

Lets's calculate LCM of 28,69,448

2 28, 69, 448
2 14, 69, 224
7 7, 69, 112
1, 69, 16

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 69 x 16 = 30912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30912

Therefore, the GCF of Fractions 27/28,439/69,312/448 is 1/30912

Least Common Multiple of 28,69,448 with GCF Formula

Least Common Multiple of 28,69,448 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 28,69,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,69,448) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(28,69,448) x common factors =1 x 28 = 28

LCM(28,69,448) = ( 28 × 69 × 448 ) / 28

LCM(28,69,448) = 865536 / 28

LCM(28,69,448) = 30912


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 27/28, 439/69, 312/448

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 27/28, 439/69, 312/448?

Answer: GCF of Numerators as per given numbers 27/28, 439/69, 312/448 is

GCF of Numerators i.e. for 27,439,312 is 1

LCM of denominators i.e. for 28,69,448 is 30912.

Thus, GCF of Fractions is 1/30912.Finally, GCF of Fractions for 27/28, 439/69, 312/448 is 1/30912.