Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/18,73/12,942/302
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 43,73,942
Greatest Common Factor of Numerators i.e. GCF of 43,73,942 is 1 .
LCM of Denominators means LCM of 18,12,302 as per the given fractions.
LCM of 18,12,302 is 5436 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,73,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
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 43,73,942 . The biggest common factor number is the GCF number.
So the greatest common factor 43,73,942 is 1.
Lets's calculate LCM of 18,12,302
2 | 18, 12, 302 |
3 | 9, 6, 151 |
3, 2, 151 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 151 = 5436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5436
Therefore, the GCF of Fractions 43/18,73/12,942/302 is 1/5436
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 18,12,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,12,302) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(18,12,302) x common factors =2 x 6 = 12
LCM(18,12,302) = ( 18 × 12 × 302 ) / 12
LCM(18,12,302) = 65232 / 12
LCM(18,12,302) = 5436
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 43/18, 73/12, 942/302?
Answer: GCF of Numerators as per given numbers 43/18, 73/12, 942/302 is
GCF of Numerators i.e. for 43,73,942 is 1
LCM of denominators i.e. for 18,12,302 is 5436.
Thus, GCF of Fractions is 1/5436.Finally, GCF of Fractions for 43/18, 73/12, 942/302 is 1/5436.