Greatest Common Factor of 7959/38, 8992/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7959/38, 8992/990

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 7959/38,8992/990

Given fractions are 7959/38,8992/990

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 7959,8992

Greatest Common Factor of Numerators i.e. GCF of 7959,8992 is 1 .

LCM of Denominators means LCM of 38,990 as per the given fractions.

LCM of 38,990 is 18810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7959,8992

GCF of Fractions 7959/38,8992/990 is 1/18810

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

Greatest Common Factor of 7959,8992 By Matching Biggest Common Factor Method

Greatest Common Factor of 7959,8992 By Matching Biggest Common Factor Method

Factors of 7959

List of positive integer factors of 7959 that divides 7959 without a remainder.

1,3,7,21,379,1137,2653,7959

Factors of 8992

List of positive integer factors of 8992 that divides 8992 without a remainder.

1,2,4,8,16,32,281,562,1124,2248,4496,8992

Greatest Common Factor

We found the factors 7959,8992 . The biggest common factor number is the GCF number.
So the greatest common factor 7959,8992 is 1.

Lets's calculate LCM of 38,990

2 38, 990
19, 495

∴ So the LCM of the given numbers is 2 x 19 x 495 = 18810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18810

Therefore, the GCF of Fractions 7959/38,8992/990 is 1/18810

Least Common Multiple of 38,990 with GCF Formula

Least Common Multiple of 38,990 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 38,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,990) = 2

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

GCF(38,990) x common factors =2 x 1 = 2

LCM(38,990) = ( 38 × 990 ) / 2

LCM(38,990) = 37620 / 2

LCM(38,990) = 18810


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 7959/38, 8992/990

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 7959/38, 8992/990?

Answer: GCF of Numerators as per given numbers 7959/38, 8992/990 is

GCF of Numerators i.e. for 7959,8992 is 1

LCM of denominators i.e. for 38,990 is 18810.

Thus, GCF of Fractions is 1/18810.Finally, GCF of Fractions for 7959/38, 8992/990 is 1/18810.