Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 456/81,9909/113
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 456,9909
Greatest Common Factor of Numerators i.e. GCF of 456,9909 is 3 .
LCM of Denominators means LCM of 81,113 as per the given fractions.
LCM of 81,113 is 9153 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 456,9909
3 | 456, 9909 |
152, 3303 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 9909
List of positive integer factors of 9909 that divides 9909 without a remainder.
1,3,9,27,367,1101,3303,9909
Greatest Common Factor
We found the factors 456,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 456,9909 is 3.
Lets's calculate LCM of 81,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 9153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9153
Therefore, the GCF of Fractions 456/81,9909/113 is 3/9153
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 81,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,113) x common factors =1 x 1 = 1
LCM(81,113) = ( 81 × 113 ) / 1
LCM(81,113) = 9153 / 1
LCM(81,113) = 9153
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 456/81, 9909/113?
Answer: GCF of Numerators as per given numbers 456/81, 9909/113 is
GCF of Numerators i.e. for 456,9909 is 3
LCM of denominators i.e. for 81,113 is 9153.
Thus, GCF of Fractions is 3/9153.Finally, GCF of Fractions for 456/81, 9909/113 is 3/9153.