Greatest Common Factor of 9644/78, 2988/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9644/78, 2988/147

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 9644/78,2988/147

Given fractions are 9644/78,2988/147

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 9644,2988

Greatest Common Factor of Numerators i.e. GCF of 9644,2988 is 4 .

LCM of Denominators means LCM of 78,147 as per the given fractions.

LCM of 78,147 is 3822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9644,2988

GCF of Fractions 9644/78,2988/147 is 4/3822

2 9644, 2988
2 4822, 1494
2411, 747

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9644,2988 By Matching Biggest Common Factor Method

Greatest Common Factor of 9644,2988 By Matching Biggest Common Factor Method

Factors of 9644

List of positive integer factors of 9644 that divides 9644 without a remainder.

1,2,4,2411,4822,9644

Factors of 2988

List of positive integer factors of 2988 that divides 2988 without a remainder.

1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988

Greatest Common Factor

We found the factors 9644,2988 . The biggest common factor number is the GCF number.
So the greatest common factor 9644,2988 is 4.

Lets's calculate LCM of 78,147

3 78, 147
26, 49

∴ So the LCM of the given numbers is 3 x 26 x 49 = 3822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3822

Therefore, the GCF of Fractions 9644/78,2988/147 is 4/3822

Least Common Multiple of 78,147 with GCF Formula

Least Common Multiple of 78,147 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 78,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,147) = 3

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

GCF(78,147) x common factors =3 x 1 = 3

LCM(78,147) = ( 78 × 147 ) / 3

LCM(78,147) = 11466 / 3

LCM(78,147) = 3822


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 9644/78, 2988/147

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 9644/78, 2988/147?

Answer: GCF of Numerators as per given numbers 9644/78, 2988/147 is

GCF of Numerators i.e. for 9644,2988 is 4

LCM of denominators i.e. for 78,147 is 3822.

Thus, GCF of Fractions is 4/3822.Finally, GCF of Fractions for 9644/78, 2988/147 is 4/3822.