Greatest Common Factor of 2877/153, 2384/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2877/153, 2384/384

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 2877/153,2384/384

Given fractions are 2877/153,2384/384

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 2877,2384

Greatest Common Factor of Numerators i.e. GCF of 2877,2384 is 1 .

LCM of Denominators means LCM of 153,384 as per the given fractions.

LCM of 153,384 is 19584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2877,2384

GCF of Fractions 2877/153,2384/384 is 1/19584

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

Greatest Common Factor of 2877,2384 By Matching Biggest Common Factor Method

Greatest Common Factor of 2877,2384 By Matching Biggest Common Factor Method

Factors of 2877

List of positive integer factors of 2877 that divides 2877 without a remainder.

1,3,7,21,137,411,959,2877

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 2877,2384 . The biggest common factor number is the GCF number.
So the greatest common factor 2877,2384 is 1.

Lets's calculate LCM of 153,384

3 153, 384
51, 128

∴ So the LCM of the given numbers is 3 x 51 x 128 = 19584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19584

Therefore, the GCF of Fractions 2877/153,2384/384 is 1/19584

Least Common Multiple of 153,384 with GCF Formula

Least Common Multiple of 153,384 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 153,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,384) = 3

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

GCF(153,384) x common factors =3 x 1 = 3

LCM(153,384) = ( 153 × 384 ) / 3

LCM(153,384) = 58752 / 3

LCM(153,384) = 19584


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 2877/153, 2384/384

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 2877/153, 2384/384?

Answer: GCF of Numerators as per given numbers 2877/153, 2384/384 is

GCF of Numerators i.e. for 2877,2384 is 1

LCM of denominators i.e. for 153,384 is 19584.

Thus, GCF of Fractions is 1/19584.Finally, GCF of Fractions for 2877/153, 2384/384 is 1/19584.