Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/50,82/83,264/666
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 16,82,264
Greatest Common Factor of Numerators i.e. GCF of 16,82,264 is 2 .
LCM of Denominators means LCM of 50,83,666 as per the given fractions.
LCM of 50,83,666 is 1381950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,82,264
2 | 16, 82, 264 |
8, 41, 132 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 16,82,264 . The biggest common factor number is the GCF number.
So the greatest common factor 16,82,264 is 2.
Lets's calculate LCM of 50,83,666
2 | 50, 83, 666 |
25, 83, 333 |
∴ So the LCM of the given numbers is 2 x 25 x 83 x 333 = 1381950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1381950
Therefore, the GCF of Fractions 16/50,82/83,264/666 is 2/1381950
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 50,83,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,83,666) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,83,666) x common factors =1 x 2 = 2
LCM(50,83,666) = ( 50 × 83 × 666 ) / 2
LCM(50,83,666) = 2763900 / 2
LCM(50,83,666) = 1381950
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 16/50, 82/83, 264/666?
Answer: GCF of Numerators as per given numbers 16/50, 82/83, 264/666 is
GCF of Numerators i.e. for 16,82,264 is 2
LCM of denominators i.e. for 50,83,666 is 1381950.
Thus, GCF of Fractions is 2/1381950.Finally, GCF of Fractions for 16/50, 82/83, 264/666 is 2/1381950.