Greatest Common Factor of 242/38, 396/22, 280/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 242/38, 396/22, 280/71

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 242/38,396/22,280/71

Given fractions are 242/38,396/22,280/71

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 242,396,280

Greatest Common Factor of Numerators i.e. GCF of 242,396,280 is 2 .

LCM of Denominators means LCM of 38,22,71 as per the given fractions.

LCM of 38,22,71 is 29678 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 242,396,280

GCF of Fractions 242/38,396/22,280/71 is 2/29678

2 242, 396, 280
121, 198, 140

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

Greatest Common Factor of 242,396,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,396,280 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 242,396,280 . The biggest common factor number is the GCF number.
So the greatest common factor 242,396,280 is 2.

Lets's calculate LCM of 38,22,71

2 38, 22, 71
19, 11, 71

∴ So the LCM of the given numbers is 2 x 19 x 11 x 71 = 29678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29678

Therefore, the GCF of Fractions 242/38,396/22,280/71 is 2/29678

Least Common Multiple of 38,22,71 with GCF Formula

Least Common Multiple of 38,22,71 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 38,22,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,22,71) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,22,71) x common factors =1 x 2 = 2

LCM(38,22,71) = ( 38 × 22 × 71 ) / 2

LCM(38,22,71) = 59356 / 2

LCM(38,22,71) = 29678


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 242/38, 396/22, 280/71

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 242/38, 396/22, 280/71?

Answer: GCF of Numerators as per given numbers 242/38, 396/22, 280/71 is

GCF of Numerators i.e. for 242,396,280 is 2

LCM of denominators i.e. for 38,22,71 is 29678.

Thus, GCF of Fractions is 2/29678.Finally, GCF of Fractions for 242/38, 396/22, 280/71 is 2/29678.