Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 412/483,942/645,678/249
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 412,942,678
Greatest Common Factor of Numerators i.e. GCF of 412,942,678 is 2 .
LCM of Denominators means LCM of 483,645,249 as per the given fractions.
LCM of 483,645,249 is 8619135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 412,942,678
2 | 412, 942, 678 |
206, 471, 339 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 412,942,678 . The biggest common factor number is the GCF number.
So the greatest common factor 412,942,678 is 2.
Lets's calculate LCM of 483,645,249
3 | 483, 645, 249 |
161, 215, 83 |
∴ So the LCM of the given numbers is 3 x 161 x 215 x 83 = 8619135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8619135
Therefore, the GCF of Fractions 412/483,942/645,678/249 is 2/8619135
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 483,645,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,645,249) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(483,645,249) x common factors =3 x 3 = 9
LCM(483,645,249) = ( 483 × 645 × 249 ) / 9
LCM(483,645,249) = 77572215 / 9
LCM(483,645,249) = 8619135
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 412/483, 942/645, 678/249?
Answer: GCF of Numerators as per given numbers 412/483, 942/645, 678/249 is
GCF of Numerators i.e. for 412,942,678 is 2
LCM of denominators i.e. for 483,645,249 is 8619135.
Thus, GCF of Fractions is 2/8619135.Finally, GCF of Fractions for 412/483, 942/645, 678/249 is 2/8619135.