Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 354/196,9855/388
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 354,9855
Greatest Common Factor of Numerators i.e. GCF of 354,9855 is 3 .
LCM of Denominators means LCM of 196,388 as per the given fractions.
LCM of 196,388 is 19012 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 354,9855
3 | 354, 9855 |
118, 3285 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 9855
List of positive integer factors of 9855 that divides 9855 without a remainder.
1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Greatest Common Factor
We found the factors 354,9855 . The biggest common factor number is the GCF number.
So the greatest common factor 354,9855 is 3.
Lets's calculate LCM of 196,388
2 | 196, 388 |
2 | 98, 194 |
49, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 49 x 97 = 19012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19012
Therefore, the GCF of Fractions 354/196,9855/388 is 3/19012
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 196,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(196,388) x common factors =4 x 1 = 4
LCM(196,388) = ( 196 × 388 ) / 4
LCM(196,388) = 76048 / 4
LCM(196,388) = 19012
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 354/196, 9855/388?
Answer: GCF of Numerators as per given numbers 354/196, 9855/388 is
GCF of Numerators i.e. for 354,9855 is 3
LCM of denominators i.e. for 196,388 is 19012.
Thus, GCF of Fractions is 3/19012.Finally, GCF of Fractions for 354/196, 9855/388 is 3/19012.