Greatest Common Factor of 468/94, 206/13, 169/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 468/94, 206/13, 169/296

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 468/94,206/13,169/296

Given fractions are 468/94,206/13,169/296

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 468,206,169

Greatest Common Factor of Numerators i.e. GCF of 468,206,169 is 1 .

LCM of Denominators means LCM of 94,13,296 as per the given fractions.

LCM of 94,13,296 is 180856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 468,206,169

GCF of Fractions 468/94,206/13,169/296 is 1/180856

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

Greatest Common Factor of 468,206,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,206,169 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 468,206,169 . The biggest common factor number is the GCF number.
So the greatest common factor 468,206,169 is 1.

Lets's calculate LCM of 94,13,296

2 94, 13, 296
47, 13, 148

∴ So the LCM of the given numbers is 2 x 47 x 13 x 148 = 180856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180856

Therefore, the GCF of Fractions 468/94,206/13,169/296 is 1/180856

Least Common Multiple of 94,13,296 with GCF Formula

Least Common Multiple of 94,13,296 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 94,13,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,13,296) = 1

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

GCF(94,13,296) x common factors =1 x 2 = 2

LCM(94,13,296) = ( 94 × 13 × 296 ) / 2

LCM(94,13,296) = 361712 / 2

LCM(94,13,296) = 180856


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 468/94, 206/13, 169/296

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 468/94, 206/13, 169/296?

Answer: GCF of Numerators as per given numbers 468/94, 206/13, 169/296 is

GCF of Numerators i.e. for 468,206,169 is 1

LCM of denominators i.e. for 94,13,296 is 180856.

Thus, GCF of Fractions is 1/180856.Finally, GCF of Fractions for 468/94, 206/13, 169/296 is 1/180856.