Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7536/182,5233/1615
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 7536,5233
Greatest Common Factor of Numerators i.e. GCF of 7536,5233 is 1 .
LCM of Denominators means LCM of 182,1615 as per the given fractions.
LCM of 182,1615 is 293930 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7536,5233
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7536
List of positive integer factors of 7536 that divides 7536 without a remainder.
1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536
Factors of 5233
List of positive integer factors of 5233 that divides 5233 without a remainder.
1,5233
Greatest Common Factor
We found the factors 7536,5233 . The biggest common factor number is the GCF number.
So the greatest common factor 7536,5233 is 1.
Lets's calculate LCM of 182,1615
Given numbers has no common factors except 1. So, there LCM is their product i.e 293930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293930
Therefore, the GCF of Fractions 7536/182,5233/1615 is 1/293930
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 182,1615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,1615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,1615) x common factors =1 x 1 = 1
LCM(182,1615) = ( 182 × 1615 ) / 1
LCM(182,1615) = 293930 / 1
LCM(182,1615) = 293930
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 7536/182, 5233/1615?
Answer: GCF of Numerators as per given numbers 7536/182, 5233/1615 is
GCF of Numerators i.e. for 7536,5233 is 1
LCM of denominators i.e. for 182,1615 is 293930.
Thus, GCF of Fractions is 1/293930.Finally, GCF of Fractions for 7536/182, 5233/1615 is 1/293930.