Greatest Common Factor of 273/40, 318/25, 212/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/40, 318/25, 212/386

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 273/40,318/25,212/386

Given fractions are 273/40,318/25,212/386

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 273,318,212

Greatest Common Factor of Numerators i.e. GCF of 273,318,212 is 1 .

LCM of Denominators means LCM of 40,25,386 as per the given fractions.

LCM of 40,25,386 is 38600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,318,212

GCF of Fractions 273/40,318/25,212/386 is 1/38600

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

Greatest Common Factor of 273,318,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,318,212 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 273,318,212 . The biggest common factor number is the GCF number.
So the greatest common factor 273,318,212 is 1.

Lets's calculate LCM of 40,25,386

2 40, 25, 386
5 20, 25, 193
4, 5, 193

∴ So the LCM of the given numbers is 2 x 5 x 4 x 5 x 193 = 38600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38600

Therefore, the GCF of Fractions 273/40,318/25,212/386 is 1/38600

Least Common Multiple of 40,25,386 with GCF Formula

Least Common Multiple of 40,25,386 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 40,25,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,25,386) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(40,25,386) x common factors =1 x 10 = 10

LCM(40,25,386) = ( 40 × 25 × 386 ) / 10

LCM(40,25,386) = 386000 / 10

LCM(40,25,386) = 38600


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 273/40, 318/25, 212/386

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 273/40, 318/25, 212/386?

Answer: GCF of Numerators as per given numbers 273/40, 318/25, 212/386 is

GCF of Numerators i.e. for 273,318,212 is 1

LCM of denominators i.e. for 40,25,386 is 38600.

Thus, GCF of Fractions is 1/38600.Finally, GCF of Fractions for 273/40, 318/25, 212/386 is 1/38600.