Greatest Common Factor of 766/296, 171/324, 209/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 766/296, 171/324, 209/438

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 766/296,171/324,209/438

Given fractions are 766/296,171/324,209/438

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 766,171,209

Greatest Common Factor of Numerators i.e. GCF of 766,171,209 is 1 .

LCM of Denominators means LCM of 296,324,438 as per the given fractions.

LCM of 296,324,438 is 1750248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 766,171,209

GCF of Fractions 766/296,171/324,209/438 is 1/1750248

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

Greatest Common Factor of 766,171,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,171,209 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 766,171,209 . The biggest common factor number is the GCF number.
So the greatest common factor 766,171,209 is 1.

Lets's calculate LCM of 296,324,438

2 296, 324, 438
2 148, 162, 219
3 74, 81, 219
74, 27, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 74 x 27 x 73 = 1750248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1750248

Therefore, the GCF of Fractions 766/296,171/324,209/438 is 1/1750248

Least Common Multiple of 296,324,438 with GCF Formula

Least Common Multiple of 296,324,438 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 296,324,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,324,438) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(296,324,438) x common factors =2 x 12 = 24

LCM(296,324,438) = ( 296 × 324 × 438 ) / 24

LCM(296,324,438) = 42005952 / 24

LCM(296,324,438) = 1750248


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 766/296, 171/324, 209/438

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 766/296, 171/324, 209/438?

Answer: GCF of Numerators as per given numbers 766/296, 171/324, 209/438 is

GCF of Numerators i.e. for 766,171,209 is 1

LCM of denominators i.e. for 296,324,438 is 1750248.

Thus, GCF of Fractions is 1/1750248.Finally, GCF of Fractions for 766/296, 171/324, 209/438 is 1/1750248.