Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/303,60/487,350/102
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 68,60,350
Greatest Common Factor of Numerators i.e. GCF of 68,60,350 is 2 .
LCM of Denominators means LCM of 303,487,102 as per the given fractions.
LCM of 303,487,102 is 5017074 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 68,60,350
2 | 68, 60, 350 |
34, 30, 175 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 68,60,350 . The biggest common factor number is the GCF number.
So the greatest common factor 68,60,350 is 2.
Lets's calculate LCM of 303,487,102
3 | 303, 487, 102 |
101, 487, 34 |
∴ So the LCM of the given numbers is 3 x 101 x 487 x 34 = 5017074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5017074
Therefore, the GCF of Fractions 68/303,60/487,350/102 is 2/5017074
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 303,487,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,487,102) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(303,487,102) x common factors =1 x 3 = 3
LCM(303,487,102) = ( 303 × 487 × 102 ) / 3
LCM(303,487,102) = 15051222 / 3
LCM(303,487,102) = 5017074
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 68/303, 60/487, 350/102?
Answer: GCF of Numerators as per given numbers 68/303, 60/487, 350/102 is
GCF of Numerators i.e. for 68,60,350 is 2
LCM of denominators i.e. for 303,487,102 is 5017074.
Thus, GCF of Fractions is 2/5017074.Finally, GCF of Fractions for 68/303, 60/487, 350/102 is 2/5017074.