Greatest Common Factor of 90/27, 49/87, 992/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/27, 49/87, 992/363

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 90/27,49/87,992/363

Given fractions are 90/27,49/87,992/363

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 90,49,992

Greatest Common Factor of Numerators i.e. GCF of 90,49,992 is 1 .

LCM of Denominators means LCM of 27,87,363 as per the given fractions.

LCM of 27,87,363 is 94743 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,49,992

GCF of Fractions 90/27,49/87,992/363 is 1/94743

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

Greatest Common Factor of 90,49,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,49,992 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 90,49,992 . The biggest common factor number is the GCF number.
So the greatest common factor 90,49,992 is 1.

Lets's calculate LCM of 27,87,363

3 27, 87, 363
9, 29, 121

∴ So the LCM of the given numbers is 3 x 9 x 29 x 121 = 94743

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94743

Therefore, the GCF of Fractions 90/27,49/87,992/363 is 1/94743

Least Common Multiple of 27,87,363 with GCF Formula

Least Common Multiple of 27,87,363 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 27,87,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,87,363) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(27,87,363) x common factors =3 x 3 = 9

LCM(27,87,363) = ( 27 × 87 × 363 ) / 9

LCM(27,87,363) = 852687 / 9

LCM(27,87,363) = 94743


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 90/27, 49/87, 992/363

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 90/27, 49/87, 992/363?

Answer: GCF of Numerators as per given numbers 90/27, 49/87, 992/363 is

GCF of Numerators i.e. for 90,49,992 is 1

LCM of denominators i.e. for 27,87,363 is 94743.

Thus, GCF of Fractions is 1/94743.Finally, GCF of Fractions for 90/27, 49/87, 992/363 is 1/94743.