Greatest Common Factor of 990/487, 1254/7489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 990/487, 1254/7489

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 990/487,1254/7489

Given fractions are 990/487,1254/7489

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 990,1254

Greatest Common Factor of Numerators i.e. GCF of 990,1254 is 66 .

LCM of Denominators means LCM of 487,7489 as per the given fractions.

LCM of 487,7489 is 3647143 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 990,1254

GCF of Fractions 990/487,1254/7489 is 66/3647143

2 990, 1254
3 495, 627
11 165, 209
15, 19

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Greatest Common Factor of 990,1254 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,1254 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 1254

List of positive integer factors of 1254 that divides 1254 without a remainder.

1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254

Greatest Common Factor

We found the factors 990,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 990,1254 is 66.

Lets's calculate LCM of 487,7489

Given numbers has no common factors except 1. So, there LCM is their product i.e 3647143

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/3647143

Therefore, the GCF of Fractions 990/487,1254/7489 is 66/3647143

Least Common Multiple of 487,7489 with GCF Formula

Least Common Multiple of 487,7489 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 487,7489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,7489) = 1

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

GCF(487,7489) x common factors =1 x 1 = 1

LCM(487,7489) = ( 487 × 7489 ) / 1

LCM(487,7489) = 3647143 / 1

LCM(487,7489) = 3647143


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 990/487, 1254/7489

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 990/487, 1254/7489?

Answer: GCF of Numerators as per given numbers 990/487, 1254/7489 is

GCF of Numerators i.e. for 990,1254 is 66

LCM of denominators i.e. for 487,7489 is 3647143.

Thus, GCF of Fractions is 66/3647143.Finally, GCF of Fractions for 990/487, 1254/7489 is 66/3647143.