Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/18,73/15,36/68,198/91
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 99,73,36,198
Greatest Common Factor of Numerators i.e. GCF of 99,73,36,198 is 1 .
LCM of Denominators means LCM of 18,15,68,91 as per the given fractions.
LCM of 18,15,68,91 is 278460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,73,36,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
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 99,73,36,198 . The biggest common factor number is the GCF number.
So the greatest common factor 99,73,36,198 is 1.
Lets's calculate LCM of 18,15,68,91
2 | 18, 15, 68, 91 |
3 | 9, 15, 34, 91 |
3, 5, 34, 91 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 34 x 91 = 278460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278460
Therefore, the GCF of Fractions 99/18,73/15,36/68,198/91 is 1/278460
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 18,15,68,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,15,68,91) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(18,15,68,91) x common factors =1 x 6 = 6
LCM(18,15,68,91) = ( 18 × 15 × 68 × 91 ) / 6
LCM(18,15,68,91) = 1670760 / 6
LCM(18,15,68,91) = 278460
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 99/18, 73/15, 36/68, 198/91?
Answer: GCF of Numerators as per given numbers 99/18, 73/15, 36/68, 198/91 is
GCF of Numerators i.e. for 99,73,36,198 is 1
LCM of denominators i.e. for 18,15,68,91 is 278460.
Thus, GCF of Fractions is 1/278460.Finally, GCF of Fractions for 99/18, 73/15, 36/68, 198/91 is 1/278460.