Greatest Common Factor of 90/179, 288/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/179, 288/292

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 90/179,288/292

Given fractions are 90/179,288/292

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 90,288

Greatest Common Factor of Numerators i.e. GCF of 90,288 is 18 .

LCM of Denominators means LCM of 179,292 as per the given fractions.

LCM of 179,292 is 52268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,288

GCF of Fractions 90/179,288/292 is 18/52268

2 90, 288
3 45, 144
3 15, 48
5, 16

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 90,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,288 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 90,288 . The biggest common factor number is the GCF number.
So the greatest common factor 90,288 is 18.

Lets's calculate LCM of 179,292

Given numbers has no common factors except 1. So, there LCM is their product i.e 52268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/52268

Therefore, the GCF of Fractions 90/179,288/292 is 18/52268

Least Common Multiple of 179,292 with GCF Formula

Least Common Multiple of 179,292 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 179,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,292) = 1

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

GCF(179,292) x common factors =1 x 1 = 1

LCM(179,292) = ( 179 × 292 ) / 1

LCM(179,292) = 52268 / 1

LCM(179,292) = 52268


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 90/179, 288/292

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 90/179, 288/292?

Answer: GCF of Numerators as per given numbers 90/179, 288/292 is

GCF of Numerators i.e. for 90,288 is 18

LCM of denominators i.e. for 179,292 is 52268.

Thus, GCF of Fractions is 18/52268.Finally, GCF of Fractions for 90/179, 288/292 is 18/52268.