Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 388/57,616/38,991/195
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 388,616,991
Greatest Common Factor of Numerators i.e. GCF of 388,616,991 is 1 .
LCM of Denominators means LCM of 57,38,195 as per the given fractions.
LCM of 57,38,195 is 7410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 388,616,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 388,616,991 . The biggest common factor number is the GCF number.
So the greatest common factor 388,616,991 is 1.
Lets's calculate LCM of 57,38,195
3 | 57, 38, 195 |
19 | 19, 38, 65 |
1, 2, 65 |
∴ So the LCM of the given numbers is 3 x 19 x 1 x 2 x 65 = 7410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7410
Therefore, the GCF of Fractions 388/57,616/38,991/195 is 1/7410
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 57,38,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,38,195) = 1
common factors(in case of two or more numbers have common factors) = 57
GCF(57,38,195) x common factors =1 x 57 = 57
LCM(57,38,195) = ( 57 × 38 × 195 ) / 57
LCM(57,38,195) = 422370 / 57
LCM(57,38,195) = 7410
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 388/57, 616/38, 991/195?
Answer: GCF of Numerators as per given numbers 388/57, 616/38, 991/195 is
GCF of Numerators i.e. for 388,616,991 is 1
LCM of denominators i.e. for 57,38,195 is 7410.
Thus, GCF of Fractions is 1/7410.Finally, GCF of Fractions for 388/57, 616/38, 991/195 is 1/7410.