Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/872,615/677
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 741,615
Greatest Common Factor of Numerators i.e. GCF of 741,615 is 3 .
LCM of Denominators means LCM of 872,677 as per the given fractions.
LCM of 872,677 is 590344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 741,615
3 | 741, 615 |
247, 205 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 741,615 . The biggest common factor number is the GCF number.
So the greatest common factor 741,615 is 3.
Lets's calculate LCM of 872,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 590344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/590344
Therefore, the GCF of Fractions 741/872,615/677 is 3/590344
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 872,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(872,677) x common factors =1 x 1 = 1
LCM(872,677) = ( 872 × 677 ) / 1
LCM(872,677) = 590344 / 1
LCM(872,677) = 590344
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 741/872, 615/677?
Answer: GCF of Numerators as per given numbers 741/872, 615/677 is
GCF of Numerators i.e. for 741,615 is 3
LCM of denominators i.e. for 872,677 is 590344.
Thus, GCF of Fractions is 3/590344.Finally, GCF of Fractions for 741/872, 615/677 is 3/590344.