Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/325,478/134,396/675
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 44,478,396
Greatest Common Factor of Numerators i.e. GCF of 44,478,396 is 2 .
LCM of Denominators means LCM of 325,134,675 as per the given fractions.
LCM of 325,134,675 is 1175850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,478,396
2 | 44, 478, 396 |
22, 239, 198 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 44,478,396 . The biggest common factor number is the GCF number.
So the greatest common factor 44,478,396 is 2.
Lets's calculate LCM of 325,134,675
5 | 325, 134, 675 |
5 | 65, 134, 135 |
13, 134, 27 |
∴ So the LCM of the given numbers is 5 x 5 x 13 x 134 x 27 = 1175850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1175850
Therefore, the GCF of Fractions 44/325,478/134,396/675 is 2/1175850
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 325,134,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,134,675) = 1
common factors(in case of two or more numbers have common factors) = 25
GCF(325,134,675) x common factors =1 x 25 = 25
LCM(325,134,675) = ( 325 × 134 × 675 ) / 25
LCM(325,134,675) = 29396250 / 25
LCM(325,134,675) = 1175850
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 44/325, 478/134, 396/675?
Answer: GCF of Numerators as per given numbers 44/325, 478/134, 396/675 is
GCF of Numerators i.e. for 44,478,396 is 2
LCM of denominators i.e. for 325,134,675 is 1175850.
Thus, GCF of Fractions is 2/1175850.Finally, GCF of Fractions for 44/325, 478/134, 396/675 is 2/1175850.