Greatest Common Factor of 476/270, 196/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 476/270, 196/334

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 476/270,196/334

Given fractions are 476/270,196/334

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 476,196

Greatest Common Factor of Numerators i.e. GCF of 476,196 is 28 .

LCM of Denominators means LCM of 270,334 as per the given fractions.

LCM of 270,334 is 45090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 476,196

GCF of Fractions 476/270,196/334 is 28/45090

2 476, 196
2 238, 98
7 119, 49
17, 7

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 476,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,196 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 476,196 . The biggest common factor number is the GCF number.
So the greatest common factor 476,196 is 28.

Lets's calculate LCM of 270,334

2 270, 334
135, 167

∴ So the LCM of the given numbers is 2 x 135 x 167 = 45090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/45090

Therefore, the GCF of Fractions 476/270,196/334 is 28/45090

Least Common Multiple of 270,334 with GCF Formula

Least Common Multiple of 270,334 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 270,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,334) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(270,334) x common factors =2 x 1 = 2

LCM(270,334) = ( 270 × 334 ) / 2

LCM(270,334) = 90180 / 2

LCM(270,334) = 45090


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 476/270, 196/334

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 476/270, 196/334?

Answer: GCF of Numerators as per given numbers 476/270, 196/334 is

GCF of Numerators i.e. for 476,196 is 28

LCM of denominators i.e. for 270,334 is 45090.

Thus, GCF of Fractions is 28/45090.Finally, GCF of Fractions for 476/270, 196/334 is 28/45090.