Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 302/73,656/41,388/64
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 302,656,388
Greatest Common Factor of Numerators i.e. GCF of 302,656,388 is 2 .
LCM of Denominators means LCM of 73,41,64 as per the given fractions.
LCM of 73,41,64 is 191552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 302,656,388
2 | 302, 656, 388 |
151, 328, 194 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 302,656,388 . The biggest common factor number is the GCF number.
So the greatest common factor 302,656,388 is 2.
Lets's calculate LCM of 73,41,64
Given numbers has no common factors except 1. So, there LCM is their product i.e 191552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191552
Therefore, the GCF of Fractions 302/73,656/41,388/64 is 2/191552
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 73,41,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,41,64) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,41,64) x common factors =1 x 1 = 1
LCM(73,41,64) = ( 73 × 41 × 64 ) / 1
LCM(73,41,64) = 191552 / 1
LCM(73,41,64) = 191552
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 302/73, 656/41, 388/64?
Answer: GCF of Numerators as per given numbers 302/73, 656/41, 388/64 is
GCF of Numerators i.e. for 302,656,388 is 2
LCM of denominators i.e. for 73,41,64 is 191552.
Thus, GCF of Fractions is 2/191552.Finally, GCF of Fractions for 302/73, 656/41, 388/64 is 2/191552.