Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 193/53,352/45,902/388
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 193,352,902
Greatest Common Factor of Numerators i.e. GCF of 193,352,902 is 1 .
LCM of Denominators means LCM of 53,45,388 as per the given fractions.
LCM of 53,45,388 is 925380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 193,352,902
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 193,352,902 . The biggest common factor number is the GCF number.
So the greatest common factor 193,352,902 is 1.
Lets's calculate LCM of 53,45,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 925380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/925380
Therefore, the GCF of Fractions 193/53,352/45,902/388 is 1/925380
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 53,45,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,45,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,45,388) x common factors =1 x 1 = 1
LCM(53,45,388) = ( 53 × 45 × 388 ) / 1
LCM(53,45,388) = 925380 / 1
LCM(53,45,388) = 925380
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 193/53, 352/45, 902/388?
Answer: GCF of Numerators as per given numbers 193/53, 352/45, 902/388 is
GCF of Numerators i.e. for 193,352,902 is 1
LCM of denominators i.e. for 53,45,388 is 925380.
Thus, GCF of Fractions is 1/925380.Finally, GCF of Fractions for 193/53, 352/45, 902/388 is 1/925380.