Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 444/207,3975/135
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 444,3975
Greatest Common Factor of Numerators i.e. GCF of 444,3975 is 3 .
LCM of Denominators means LCM of 207,135 as per the given fractions.
LCM of 207,135 is 3105 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 444,3975
3 | 444, 3975 |
148, 1325 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Factors of 3975
List of positive integer factors of 3975 that divides 3975 without a remainder.
1,3,5,15,25,53,75,159,265,795,1325,3975
Greatest Common Factor
We found the factors 444,3975 . The biggest common factor number is the GCF number.
So the greatest common factor 444,3975 is 3.
Lets's calculate LCM of 207,135
3 | 207, 135 |
3 | 69, 45 |
23, 15 |
∴ So the LCM of the given numbers is 3 x 3 x 23 x 15 = 3105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3105
Therefore, the GCF of Fractions 444/207,3975/135 is 3/3105
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 207,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,135) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(207,135) x common factors =9 x 1 = 9
LCM(207,135) = ( 207 × 135 ) / 9
LCM(207,135) = 27945 / 9
LCM(207,135) = 3105
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 444/207, 3975/135?
Answer: GCF of Numerators as per given numbers 444/207, 3975/135 is
GCF of Numerators i.e. for 444,3975 is 3
LCM of denominators i.e. for 207,135 is 3105.
Thus, GCF of Fractions is 3/3105.Finally, GCF of Fractions for 444/207, 3975/135 is 3/3105.