Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 304/603,384/849
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 304,384
Greatest Common Factor of Numerators i.e. GCF of 304,384 is 16 .
LCM of Denominators means LCM of 603,849 as per the given fractions.
LCM of 603,849 is 170649 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 304,384
2 | 304, 384 |
2 | 152, 192 |
2 | 76, 96 |
2 | 38, 48 |
19, 24 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 304,384 . The biggest common factor number is the GCF number.
So the greatest common factor 304,384 is 16.
Lets's calculate LCM of 603,849
3 | 603, 849 |
201, 283 |
∴ So the LCM of the given numbers is 3 x 201 x 283 = 170649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/170649
Therefore, the GCF of Fractions 304/603,384/849 is 16/170649
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 603,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(603,849) x common factors =3 x 1 = 3
LCM(603,849) = ( 603 × 849 ) / 3
LCM(603,849) = 511947 / 3
LCM(603,849) = 170649
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 304/603, 384/849?
Answer: GCF of Numerators as per given numbers 304/603, 384/849 is
GCF of Numerators i.e. for 304,384 is 16
LCM of denominators i.e. for 603,849 is 170649.
Thus, GCF of Fractions is 16/170649.Finally, GCF of Fractions for 304/603, 384/849 is 16/170649.