Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 240/71,222/81,992/123
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 240,222,992
Greatest Common Factor of Numerators i.e. GCF of 240,222,992 is 2 .
LCM of Denominators means LCM of 71,81,123 as per the given fractions.
LCM of 71,81,123 is 235791 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 240,222,992
2 | 240, 222, 992 |
120, 111, 496 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 240,222,992 . The biggest common factor number is the GCF number.
So the greatest common factor 240,222,992 is 2.
Lets's calculate LCM of 71,81,123
3 | 71, 81, 123 |
71, 27, 41 |
∴ So the LCM of the given numbers is 3 x 71 x 27 x 41 = 235791
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/235791
Therefore, the GCF of Fractions 240/71,222/81,992/123 is 2/235791
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 71,81,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,81,123) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(71,81,123) x common factors =1 x 3 = 3
LCM(71,81,123) = ( 71 × 81 × 123 ) / 3
LCM(71,81,123) = 707373 / 3
LCM(71,81,123) = 235791
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 240/71, 222/81, 992/123?
Answer: GCF of Numerators as per given numbers 240/71, 222/81, 992/123 is
GCF of Numerators i.e. for 240,222,992 is 2
LCM of denominators i.e. for 71,81,123 is 235791.
Thus, GCF of Fractions is 2/235791.Finally, GCF of Fractions for 240/71, 222/81, 992/123 is 2/235791.