Greatest Common Factor of 618/984, 768/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/984, 768/374

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 618/984,768/374

Given fractions are 618/984,768/374

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 618,768

Greatest Common Factor of Numerators i.e. GCF of 618,768 is 6 .

LCM of Denominators means LCM of 984,374 as per the given fractions.

LCM of 984,374 is 184008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,768

GCF of Fractions 618/984,768/374 is 6/184008

2 618, 768
3 309, 384
103, 128

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 618,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,768 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 618,768 . The biggest common factor number is the GCF number.
So the greatest common factor 618,768 is 6.

Lets's calculate LCM of 984,374

2 984, 374
492, 187

∴ So the LCM of the given numbers is 2 x 492 x 187 = 184008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/184008

Therefore, the GCF of Fractions 618/984,768/374 is 6/184008

Least Common Multiple of 984,374 with GCF Formula

Least Common Multiple of 984,374 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 984,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,374) = 2

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

GCF(984,374) x common factors =2 x 1 = 2

LCM(984,374) = ( 984 × 374 ) / 2

LCM(984,374) = 368016 / 2

LCM(984,374) = 184008


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 618/984, 768/374

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 618/984, 768/374?

Answer: GCF of Numerators as per given numbers 618/984, 768/374 is

GCF of Numerators i.e. for 618,768 is 6

LCM of denominators i.e. for 984,374 is 184008.

Thus, GCF of Fractions is 6/184008.Finally, GCF of Fractions for 618/984, 768/374 is 6/184008.