Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/537,138/355,136/819
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 249,138,136
Greatest Common Factor of Numerators i.e. GCF of 249,138,136 is 1 .
LCM of Denominators means LCM of 537,355,819 as per the given fractions.
LCM of 537,355,819 is 52043355 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 249,138,136
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
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 249,138,136 . The biggest common factor number is the GCF number.
So the greatest common factor 249,138,136 is 1.
Lets's calculate LCM of 537,355,819
3 | 537, 355, 819 |
179, 355, 273 |
∴ So the LCM of the given numbers is 3 x 179 x 355 x 273 = 52043355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52043355
Therefore, the GCF of Fractions 249/537,138/355,136/819 is 1/52043355
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 537,355,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,355,819) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(537,355,819) x common factors =1 x 3 = 3
LCM(537,355,819) = ( 537 × 355 × 819 ) / 3
LCM(537,355,819) = 156130065 / 3
LCM(537,355,819) = 52043355
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 249/537, 138/355, 136/819?
Answer: GCF of Numerators as per given numbers 249/537, 138/355, 136/819 is
GCF of Numerators i.e. for 249,138,136 is 1
LCM of denominators i.e. for 537,355,819 is 52043355.
Thus, GCF of Fractions is 1/52043355.Finally, GCF of Fractions for 249/537, 138/355, 136/819 is 1/52043355.