Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7757/331,2766/2390
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 7757,2766
Greatest Common Factor of Numerators i.e. GCF of 7757,2766 is 1 .
LCM of Denominators means LCM of 331,2390 as per the given fractions.
LCM of 331,2390 is 791090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7757,2766
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7757
List of positive integer factors of 7757 that divides 7757 without a remainder.
1,7757
Factors of 2766
List of positive integer factors of 2766 that divides 2766 without a remainder.
1,2,3,6,461,922,1383,2766
Greatest Common Factor
We found the factors 7757,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 7757,2766 is 1.
Lets's calculate LCM of 331,2390
Given numbers has no common factors except 1. So, there LCM is their product i.e 791090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791090
Therefore, the GCF of Fractions 7757/331,2766/2390 is 1/791090
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 331,2390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,2390) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,2390) x common factors =1 x 1 = 1
LCM(331,2390) = ( 331 × 2390 ) / 1
LCM(331,2390) = 791090 / 1
LCM(331,2390) = 791090
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 7757/331, 2766/2390?
Answer: GCF of Numerators as per given numbers 7757/331, 2766/2390 is
GCF of Numerators i.e. for 7757,2766 is 1
LCM of denominators i.e. for 331,2390 is 791090.
Thus, GCF of Fractions is 1/791090.Finally, GCF of Fractions for 7757/331, 2766/2390 is 1/791090.