Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 30/42,646/20,942/259
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 30,646,942
Greatest Common Factor of Numerators i.e. GCF of 30,646,942 is 2 .
LCM of Denominators means LCM of 42,20,259 as per the given fractions.
LCM of 42,20,259 is 15540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 30,646,942
2 | 30, 646, 942 |
15, 323, 471 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 30,646,942 . The biggest common factor number is the GCF number.
So the greatest common factor 30,646,942 is 2.
Lets's calculate LCM of 42,20,259
2 | 42, 20, 259 |
7 | 21, 10, 259 |
3, 10, 37 |
∴ So the LCM of the given numbers is 2 x 7 x 3 x 10 x 37 = 15540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15540
Therefore, the GCF of Fractions 30/42,646/20,942/259 is 2/15540
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 42,20,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,20,259) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(42,20,259) x common factors =1 x 14 = 14
LCM(42,20,259) = ( 42 × 20 × 259 ) / 14
LCM(42,20,259) = 217560 / 14
LCM(42,20,259) = 15540
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 30/42, 646/20, 942/259?
Answer: GCF of Numerators as per given numbers 30/42, 646/20, 942/259 is
GCF of Numerators i.e. for 30,646,942 is 2
LCM of denominators i.e. for 42,20,259 is 15540.
Thus, GCF of Fractions is 2/15540.Finally, GCF of Fractions for 30/42, 646/20, 942/259 is 2/15540.