Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7773/507,3981/790
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 7773,3981
Greatest Common Factor of Numerators i.e. GCF of 7773,3981 is 3 .
LCM of Denominators means LCM of 507,790 as per the given fractions.
LCM of 507,790 is 400530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7773,3981
3 | 7773, 3981 |
2591, 1327 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7773
List of positive integer factors of 7773 that divides 7773 without a remainder.
1,3,2591,7773
Factors of 3981
List of positive integer factors of 3981 that divides 3981 without a remainder.
1,3,1327,3981
Greatest Common Factor
We found the factors 7773,3981 . The biggest common factor number is the GCF number.
So the greatest common factor 7773,3981 is 3.
Lets's calculate LCM of 507,790
Given numbers has no common factors except 1. So, there LCM is their product i.e 400530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/400530
Therefore, the GCF of Fractions 7773/507,3981/790 is 3/400530
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 507,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,790) x common factors =1 x 1 = 1
LCM(507,790) = ( 507 × 790 ) / 1
LCM(507,790) = 400530 / 1
LCM(507,790) = 400530
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 7773/507, 3981/790?
Answer: GCF of Numerators as per given numbers 7773/507, 3981/790 is
GCF of Numerators i.e. for 7773,3981 is 3
LCM of denominators i.e. for 507,790 is 400530.
Thus, GCF of Fractions is 3/400530.Finally, GCF of Fractions for 7773/507, 3981/790 is 3/400530.