Greatest Common Factor of 473/75, 990/1981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 473/75, 990/1981

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 473/75,990/1981

Given fractions are 473/75,990/1981

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 473,990

Greatest Common Factor of Numerators i.e. GCF of 473,990 is 11 .

LCM of Denominators means LCM of 75,1981 as per the given fractions.

LCM of 75,1981 is 148575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 473,990

GCF of Fractions 473/75,990/1981 is 11/148575

11 473, 990
43, 90

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 473,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,990 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 473,990 . The biggest common factor number is the GCF number.
So the greatest common factor 473,990 is 11.

Lets's calculate LCM of 75,1981

Given numbers has no common factors except 1. So, there LCM is their product i.e 148575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/148575

Therefore, the GCF of Fractions 473/75,990/1981 is 11/148575

Least Common Multiple of 75,1981 with GCF Formula

Least Common Multiple of 75,1981 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 75,1981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,1981) = 1

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

GCF(75,1981) x common factors =1 x 1 = 1

LCM(75,1981) = ( 75 × 1981 ) / 1

LCM(75,1981) = 148575 / 1

LCM(75,1981) = 148575


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 473/75, 990/1981

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 473/75, 990/1981?

Answer: GCF of Numerators as per given numbers 473/75, 990/1981 is

GCF of Numerators i.e. for 473,990 is 11

LCM of denominators i.e. for 75,1981 is 148575.

Thus, GCF of Fractions is 11/148575.Finally, GCF of Fractions for 473/75, 990/1981 is 11/148575.