Greatest Common Factor of 252/305, 1896/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 252/305, 1896/578

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 252/305,1896/578

Given fractions are 252/305,1896/578

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 252,1896

Greatest Common Factor of Numerators i.e. GCF of 252,1896 is 12 .

LCM of Denominators means LCM of 305,578 as per the given fractions.

LCM of 305,578 is 176290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,1896

GCF of Fractions 252/305,1896/578 is 12/176290

2 252, 1896
2 126, 948
3 63, 474
21, 158

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 252,1896 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,1896 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 1896

List of positive integer factors of 1896 that divides 1896 without a remainder.

1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896

Greatest Common Factor

We found the factors 252,1896 . The biggest common factor number is the GCF number.
So the greatest common factor 252,1896 is 12.

Lets's calculate LCM of 305,578

Given numbers has no common factors except 1. So, there LCM is their product i.e 176290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/176290

Therefore, the GCF of Fractions 252/305,1896/578 is 12/176290

Least Common Multiple of 305,578 with GCF Formula

Least Common Multiple of 305,578 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 305,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,578) = 1

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

GCF(305,578) x common factors =1 x 1 = 1

LCM(305,578) = ( 305 × 578 ) / 1

LCM(305,578) = 176290 / 1

LCM(305,578) = 176290


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 252/305, 1896/578

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 252/305, 1896/578?

Answer: GCF of Numerators as per given numbers 252/305, 1896/578 is

GCF of Numerators i.e. for 252,1896 is 12

LCM of denominators i.e. for 305,578 is 176290.

Thus, GCF of Fractions is 12/176290.Finally, GCF of Fractions for 252/305, 1896/578 is 12/176290.