Greatest Common Factor of 2084/984, 2384/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2084/984, 2384/153

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 2084/984,2384/153

Given fractions are 2084/984,2384/153

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 2084,2384

Greatest Common Factor of Numerators i.e. GCF of 2084,2384 is 4 .

LCM of Denominators means LCM of 984,153 as per the given fractions.

LCM of 984,153 is 50184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2084,2384

GCF of Fractions 2084/984,2384/153 is 4/50184

2 2084, 2384
2 1042, 1192
521, 596

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

Greatest Common Factor of 2084,2384 By Matching Biggest Common Factor Method

Greatest Common Factor of 2084,2384 By Matching Biggest Common Factor Method

Factors of 2084

List of positive integer factors of 2084 that divides 2084 without a remainder.

1,2,4,521,1042,2084

Factors of 2384

List of positive integer factors of 2384 that divides 2384 without a remainder.

1,2,4,8,16,149,298,596,1192,2384

Greatest Common Factor

We found the factors 2084,2384 . The biggest common factor number is the GCF number.
So the greatest common factor 2084,2384 is 4.

Lets's calculate LCM of 984,153

3 984, 153
328, 51

∴ So the LCM of the given numbers is 3 x 328 x 51 = 50184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/50184

Therefore, the GCF of Fractions 2084/984,2384/153 is 4/50184

Least Common Multiple of 984,153 with GCF Formula

Least Common Multiple of 984,153 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 984,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,153) = 3

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

GCF(984,153) x common factors =3 x 1 = 3

LCM(984,153) = ( 984 × 153 ) / 3

LCM(984,153) = 150552 / 3

LCM(984,153) = 50184


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 2084/984, 2384/153

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 2084/984, 2384/153?

Answer: GCF of Numerators as per given numbers 2084/984, 2384/153 is

GCF of Numerators i.e. for 2084,2384 is 4

LCM of denominators i.e. for 984,153 is 50184.

Thus, GCF of Fractions is 4/50184.Finally, GCF of Fractions for 2084/984, 2384/153 is 4/50184.