Greatest Common Factor of 990/450, 2497/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 990/450, 2497/965

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 990/450,2497/965

Given fractions are 990/450,2497/965

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 990,2497

Greatest Common Factor of Numerators i.e. GCF of 990,2497 is 11 .

LCM of Denominators means LCM of 450,965 as per the given fractions.

LCM of 450,965 is 86850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 990,2497

GCF of Fractions 990/450,2497/965 is 11/86850

11 990, 2497
90, 227

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

Greatest Common Factor of 990,2497 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,2497 By Matching Biggest Common Factor Method

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

Factors of 2497

List of positive integer factors of 2497 that divides 2497 without a remainder.

1,11,227,2497

Greatest Common Factor

We found the factors 990,2497 . The biggest common factor number is the GCF number.
So the greatest common factor 990,2497 is 11.

Lets's calculate LCM of 450,965

5 450, 965
90, 193

∴ So the LCM of the given numbers is 5 x 90 x 193 = 86850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/86850

Therefore, the GCF of Fractions 990/450,2497/965 is 11/86850

Least Common Multiple of 450,965 with GCF Formula

Least Common Multiple of 450,965 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 450,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,965) = 5

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

GCF(450,965) x common factors =5 x 1 = 5

LCM(450,965) = ( 450 × 965 ) / 5

LCM(450,965) = 434250 / 5

LCM(450,965) = 86850


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 990/450, 2497/965

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 990/450, 2497/965?

Answer: GCF of Numerators as per given numbers 990/450, 2497/965 is

GCF of Numerators i.e. for 990,2497 is 11

LCM of denominators i.e. for 450,965 is 86850.

Thus, GCF of Fractions is 11/86850.Finally, GCF of Fractions for 990/450, 2497/965 is 11/86850.