Greatest Common Factor of 254/392, 302/318, 480/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/392, 302/318, 480/273

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 254/392,302/318,480/273

Given fractions are 254/392,302/318,480/273

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 254,302,480

Greatest Common Factor of Numerators i.e. GCF of 254,302,480 is 2 .

LCM of Denominators means LCM of 392,318,273 as per the given fractions.

LCM of 392,318,273 is 810264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,302,480

GCF of Fractions 254/392,302/318,480/273 is 2/810264

2 254, 302, 480
127, 151, 240

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 254,302,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,302,480 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 254,302,480 . The biggest common factor number is the GCF number.
So the greatest common factor 254,302,480 is 2.

Lets's calculate LCM of 392,318,273

2 392, 318, 273
3 196, 159, 273
7 196, 53, 91
28, 53, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 28 x 53 x 13 = 810264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/810264

Therefore, the GCF of Fractions 254/392,302/318,480/273 is 2/810264

Least Common Multiple of 392,318,273 with GCF Formula

Least Common Multiple of 392,318,273 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 392,318,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,318,273) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(392,318,273) x common factors =1 x 42 = 42

LCM(392,318,273) = ( 392 × 318 × 273 ) / 42

LCM(392,318,273) = 34031088 / 42

LCM(392,318,273) = 810264


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 254/392, 302/318, 480/273

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 254/392, 302/318, 480/273?

Answer: GCF of Numerators as per given numbers 254/392, 302/318, 480/273 is

GCF of Numerators i.e. for 254,302,480 is 2

LCM of denominators i.e. for 392,318,273 is 810264.

Thus, GCF of Fractions is 2/810264.Finally, GCF of Fractions for 254/392, 302/318, 480/273 is 2/810264.