Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3115/691,6945/2495
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 3115,6945
Greatest Common Factor of Numerators i.e. GCF of 3115,6945 is 5 .
LCM of Denominators means LCM of 691,2495 as per the given fractions.
LCM of 691,2495 is 1724045 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3115,6945
5 | 3115, 6945 |
623, 1389 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3115
List of positive integer factors of 3115 that divides 3115 without a remainder.
1,5,7,35,89,445,623,3115
Factors of 6945
List of positive integer factors of 6945 that divides 6945 without a remainder.
1,3,5,15,463,1389,2315,6945
Greatest Common Factor
We found the factors 3115,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 3115,6945 is 5.
Lets's calculate LCM of 691,2495
Given numbers has no common factors except 1. So, there LCM is their product i.e 1724045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1724045
Therefore, the GCF of Fractions 3115/691,6945/2495 is 5/1724045
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 691,2495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,2495) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,2495) x common factors =1 x 1 = 1
LCM(691,2495) = ( 691 × 2495 ) / 1
LCM(691,2495) = 1724045 / 1
LCM(691,2495) = 1724045
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 3115/691, 6945/2495?
Answer: GCF of Numerators as per given numbers 3115/691, 6945/2495 is
GCF of Numerators i.e. for 3115,6945 is 5
LCM of denominators i.e. for 691,2495 is 1724045.
Thus, GCF of Fractions is 5/1724045.Finally, GCF of Fractions for 3115/691, 6945/2495 is 5/1724045.