Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/11,30/324,738/815
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 52,30,738
Greatest Common Factor of Numerators i.e. GCF of 52,30,738 is 2 .
LCM of Denominators means LCM of 11,324,815 as per the given fractions.
LCM of 11,324,815 is 2904660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,30,738
2 | 52, 30, 738 |
26, 15, 369 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 52,30,738 . The biggest common factor number is the GCF number.
So the greatest common factor 52,30,738 is 2.
Lets's calculate LCM of 11,324,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 2904660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2904660
Therefore, the GCF of Fractions 52/11,30/324,738/815 is 2/2904660
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 11,324,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,324,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,324,815) x common factors =1 x 1 = 1
LCM(11,324,815) = ( 11 × 324 × 815 ) / 1
LCM(11,324,815) = 2904660 / 1
LCM(11,324,815) = 2904660
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 52/11, 30/324, 738/815?
Answer: GCF of Numerators as per given numbers 52/11, 30/324, 738/815 is
GCF of Numerators i.e. for 52,30,738 is 2
LCM of denominators i.e. for 11,324,815 is 2904660.
Thus, GCF of Fractions is 2/2904660.Finally, GCF of Fractions for 52/11, 30/324, 738/815 is 2/2904660.