Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9981/509,3972/238
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 9981,3972
Greatest Common Factor of Numerators i.e. GCF of 9981,3972 is 3 .
LCM of Denominators means LCM of 509,238 as per the given fractions.
LCM of 509,238 is 121142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9981,3972
3 | 9981, 3972 |
3327, 1324 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9981
List of positive integer factors of 9981 that divides 9981 without a remainder.
1,3,9,1109,3327,9981
Factors of 3972
List of positive integer factors of 3972 that divides 3972 without a remainder.
1,2,3,4,6,12,331,662,993,1324,1986,3972
Greatest Common Factor
We found the factors 9981,3972 . The biggest common factor number is the GCF number.
So the greatest common factor 9981,3972 is 3.
Lets's calculate LCM of 509,238
Given numbers has no common factors except 1. So, there LCM is their product i.e 121142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/121142
Therefore, the GCF of Fractions 9981/509,3972/238 is 3/121142
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 509,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,238) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,238) x common factors =1 x 1 = 1
LCM(509,238) = ( 509 × 238 ) / 1
LCM(509,238) = 121142 / 1
LCM(509,238) = 121142
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 9981/509, 3972/238?
Answer: GCF of Numerators as per given numbers 9981/509, 3972/238 is
GCF of Numerators i.e. for 9981,3972 is 3
LCM of denominators i.e. for 509,238 is 121142.
Thus, GCF of Fractions is 3/121142.Finally, GCF of Fractions for 9981/509, 3972/238 is 3/121142.