Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/246,716/388,856/439
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 10,716,856
Greatest Common Factor of Numerators i.e. GCF of 10,716,856 is 2 .
LCM of Denominators means LCM of 246,388,439 as per the given fractions.
LCM of 246,388,439 is 20950836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 10,716,856
2 | 10, 716, 856 |
5, 358, 428 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 10,716,856 . The biggest common factor number is the GCF number.
So the greatest common factor 10,716,856 is 2.
Lets's calculate LCM of 246,388,439
2 | 246, 388, 439 |
123, 194, 439 |
∴ So the LCM of the given numbers is 2 x 123 x 194 x 439 = 20950836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20950836
Therefore, the GCF of Fractions 10/246,716/388,856/439 is 2/20950836
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 246,388,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,388,439) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(246,388,439) x common factors =1 x 2 = 2
LCM(246,388,439) = ( 246 × 388 × 439 ) / 2
LCM(246,388,439) = 41901672 / 2
LCM(246,388,439) = 20950836
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 10/246, 716/388, 856/439?
Answer: GCF of Numerators as per given numbers 10/246, 716/388, 856/439 is
GCF of Numerators i.e. for 10,716,856 is 2
LCM of denominators i.e. for 246,388,439 is 20950836.
Thus, GCF of Fractions is 2/20950836.Finally, GCF of Fractions for 10/246, 716/388, 856/439 is 2/20950836.