Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5132/230,9547/719
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 5132,9547
Greatest Common Factor of Numerators i.e. GCF of 5132,9547 is 1 .
LCM of Denominators means LCM of 230,719 as per the given fractions.
LCM of 230,719 is 165370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5132,9547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5132
List of positive integer factors of 5132 that divides 5132 without a remainder.
1,2,4,1283,2566,5132
Factors of 9547
List of positive integer factors of 9547 that divides 9547 without a remainder.
1,9547
Greatest Common Factor
We found the factors 5132,9547 . The biggest common factor number is the GCF number.
So the greatest common factor 5132,9547 is 1.
Lets's calculate LCM of 230,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 165370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165370
Therefore, the GCF of Fractions 5132/230,9547/719 is 1/165370
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 230,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,719) x common factors =1 x 1 = 1
LCM(230,719) = ( 230 × 719 ) / 1
LCM(230,719) = 165370 / 1
LCM(230,719) = 165370
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 5132/230, 9547/719?
Answer: GCF of Numerators as per given numbers 5132/230, 9547/719 is
GCF of Numerators i.e. for 5132,9547 is 1
LCM of denominators i.e. for 230,719 is 165370.
Thus, GCF of Fractions is 1/165370.Finally, GCF of Fractions for 5132/230, 9547/719 is 1/165370.