Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 204/39,136/1527
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 204,136
Greatest Common Factor of Numerators i.e. GCF of 204,136 is 68 .
LCM of Denominators means LCM of 39,1527 as per the given fractions.
LCM of 39,1527 is 19851 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 204,136
2 | 204, 136 |
2 | 102, 68 |
17 | 51, 34 |
3, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 204,136 . The biggest common factor number is the GCF number.
So the greatest common factor 204,136 is 68.
Lets's calculate LCM of 39,1527
3 | 39, 1527 |
13, 509 |
∴ So the LCM of the given numbers is 3 x 13 x 509 = 19851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/19851
Therefore, the GCF of Fractions 204/39,136/1527 is 68/19851
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 39,1527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,1527) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,1527) x common factors =3 x 1 = 3
LCM(39,1527) = ( 39 × 1527 ) / 3
LCM(39,1527) = 59553 / 3
LCM(39,1527) = 19851
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 204/39, 136/1527?
Answer: GCF of Numerators as per given numbers 204/39, 136/1527 is
GCF of Numerators i.e. for 204,136 is 68
LCM of denominators i.e. for 39,1527 is 19851.
Thus, GCF of Fractions is 68/19851.Finally, GCF of Fractions for 204/39, 136/1527 is 68/19851.