Greatest Common Factor of 48/305, 87/183, 876/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/305, 87/183, 876/621

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 48/305,87/183,876/621

Given fractions are 48/305,87/183,876/621

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 48,87,876

Greatest Common Factor of Numerators i.e. GCF of 48,87,876 is 3 .

LCM of Denominators means LCM of 305,183,621 as per the given fractions.

LCM of 305,183,621 is 189405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,87,876

GCF of Fractions 48/305,87/183,876/621 is 3/189405

3 48, 87, 876
16, 29, 292

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 48,87,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,87,876 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 48,87,876 . The biggest common factor number is the GCF number.
So the greatest common factor 48,87,876 is 3.

Lets's calculate LCM of 305,183,621

3 305, 183, 621
61 305, 61, 207
5, 1, 207

∴ So the LCM of the given numbers is 3 x 61 x 5 x 1 x 207 = 189405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/189405

Therefore, the GCF of Fractions 48/305,87/183,876/621 is 3/189405

Least Common Multiple of 305,183,621 with GCF Formula

Least Common Multiple of 305,183,621 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 305,183,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,183,621) = 1

common factors(in case of two or more numbers have common factors) = 183

GCF(305,183,621) x common factors =1 x 183 = 183

LCM(305,183,621) = ( 305 × 183 × 621 ) / 183

LCM(305,183,621) = 34661115 / 183

LCM(305,183,621) = 189405


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 48/305, 87/183, 876/621

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 48/305, 87/183, 876/621?

Answer: GCF of Numerators as per given numbers 48/305, 87/183, 876/621 is

GCF of Numerators i.e. for 48,87,876 is 3

LCM of denominators i.e. for 305,183,621 is 189405.

Thus, GCF of Fractions is 3/189405.Finally, GCF of Fractions for 48/305, 87/183, 876/621 is 3/189405.