Greatest Common Factor of 991/483, 2660/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/483, 2660/459

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 991/483,2660/459

Given fractions are 991/483,2660/459

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 991,2660

Greatest Common Factor of Numerators i.e. GCF of 991,2660 is 1 .

LCM of Denominators means LCM of 483,459 as per the given fractions.

LCM of 483,459 is 73899 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,2660

GCF of Fractions 991/483,2660/459 is 1/73899

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

Greatest Common Factor of 991,2660 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,2660 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 2660

List of positive integer factors of 2660 that divides 2660 without a remainder.

1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660

Greatest Common Factor

We found the factors 991,2660 . The biggest common factor number is the GCF number.
So the greatest common factor 991,2660 is 1.

Lets's calculate LCM of 483,459

3 483, 459
161, 153

∴ So the LCM of the given numbers is 3 x 161 x 153 = 73899

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73899

Therefore, the GCF of Fractions 991/483,2660/459 is 1/73899

Least Common Multiple of 483,459 with GCF Formula

Least Common Multiple of 483,459 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 483,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,459) = 3

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

GCF(483,459) x common factors =3 x 1 = 3

LCM(483,459) = ( 483 × 459 ) / 3

LCM(483,459) = 221697 / 3

LCM(483,459) = 73899


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 991/483, 2660/459

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 991/483, 2660/459?

Answer: GCF of Numerators as per given numbers 991/483, 2660/459 is

GCF of Numerators i.e. for 991,2660 is 1

LCM of denominators i.e. for 483,459 is 73899.

Thus, GCF of Fractions is 1/73899.Finally, GCF of Fractions for 991/483, 2660/459 is 1/73899.