Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/45,58/80,198/984
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 39,58,198
Greatest Common Factor of Numerators i.e. GCF of 39,58,198 is 1 .
LCM of Denominators means LCM of 45,80,984 as per the given fractions.
LCM of 45,80,984 is 29520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,58,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 39,58,198 . The biggest common factor number is the GCF number.
So the greatest common factor 39,58,198 is 1.
Lets's calculate LCM of 45,80,984
2 | 45, 80, 984 |
2 | 45, 40, 492 |
2 | 45, 20, 246 |
3 | 45, 10, 123 |
5 | 15, 10, 41 |
3, 2, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 3 x 2 x 41 = 29520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29520
Therefore, the GCF of Fractions 39/45,58/80,198/984 is 1/29520
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 45,80,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,80,984) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(45,80,984) x common factors =1 x 120 = 120
LCM(45,80,984) = ( 45 × 80 × 984 ) / 120
LCM(45,80,984) = 3542400 / 120
LCM(45,80,984) = 29520
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 39/45, 58/80, 198/984?
Answer: GCF of Numerators as per given numbers 39/45, 58/80, 198/984 is
GCF of Numerators i.e. for 39,58,198 is 1
LCM of denominators i.e. for 45,80,984 is 29520.
Thus, GCF of Fractions is 1/29520.Finally, GCF of Fractions for 39/45, 58/80, 198/984 is 1/29520.