Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 399/52,285/4123
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 399,285
Greatest Common Factor of Numerators i.e. GCF of 399,285 is 57 .
LCM of Denominators means LCM of 52,4123 as per the given fractions.
LCM of 52,4123 is 214396 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 399,285
3 | 399, 285 |
19 | 133, 95 |
7, 5 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 399,285 . The biggest common factor number is the GCF number.
So the greatest common factor 399,285 is 57.
Lets's calculate LCM of 52,4123
Given numbers has no common factors except 1. So, there LCM is their product i.e 214396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/214396
Therefore, the GCF of Fractions 399/52,285/4123 is 57/214396
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 52,4123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,4123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,4123) x common factors =1 x 1 = 1
LCM(52,4123) = ( 52 × 4123 ) / 1
LCM(52,4123) = 214396 / 1
LCM(52,4123) = 214396
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 399/52, 285/4123?
Answer: GCF of Numerators as per given numbers 399/52, 285/4123 is
GCF of Numerators i.e. for 399,285 is 57
LCM of denominators i.e. for 52,4123 is 214396.
Thus, GCF of Fractions is 57/214396.Finally, GCF of Fractions for 399/52, 285/4123 is 57/214396.