Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 468/397,6081/356
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 468,6081
Greatest Common Factor of Numerators i.e. GCF of 468,6081 is 3 .
LCM of Denominators means LCM of 397,356 as per the given fractions.
LCM of 397,356 is 141332 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 468,6081
3 | 468, 6081 |
156, 2027 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 6081
List of positive integer factors of 6081 that divides 6081 without a remainder.
1,3,2027,6081
Greatest Common Factor
We found the factors 468,6081 . The biggest common factor number is the GCF number.
So the greatest common factor 468,6081 is 3.
Lets's calculate LCM of 397,356
Given numbers has no common factors except 1. So, there LCM is their product i.e 141332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/141332
Therefore, the GCF of Fractions 468/397,6081/356 is 3/141332
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 397,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,356) x common factors =1 x 1 = 1
LCM(397,356) = ( 397 × 356 ) / 1
LCM(397,356) = 141332 / 1
LCM(397,356) = 141332
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 468/397, 6081/356?
Answer: GCF of Numerators as per given numbers 468/397, 6081/356 is
GCF of Numerators i.e. for 468,6081 is 3
LCM of denominators i.e. for 397,356 is 141332.
Thus, GCF of Fractions is 3/141332.Finally, GCF of Fractions for 468/397, 6081/356 is 3/141332.