Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 513/298,973/765
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 513,973
Greatest Common Factor of Numerators i.e. GCF of 513,973 is 1 .
LCM of Denominators means LCM of 298,765 as per the given fractions.
LCM of 298,765 is 227970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 513,973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors 513,973 . The biggest common factor number is the GCF number.
So the greatest common factor 513,973 is 1.
Lets's calculate LCM of 298,765
Given numbers has no common factors except 1. So, there LCM is their product i.e 227970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227970
Therefore, the GCF of Fractions 513/298,973/765 is 1/227970
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 298,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,765) x common factors =1 x 1 = 1
LCM(298,765) = ( 298 × 765 ) / 1
LCM(298,765) = 227970 / 1
LCM(298,765) = 227970
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 513/298, 973/765?
Answer: GCF of Numerators as per given numbers 513/298, 973/765 is
GCF of Numerators i.e. for 513,973 is 1
LCM of denominators i.e. for 298,765 is 227970.
Thus, GCF of Fractions is 1/227970.Finally, GCF of Fractions for 513/298, 973/765 is 1/227970.