Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 188/305,1731/7531
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 188,1731
Greatest Common Factor of Numerators i.e. GCF of 188,1731 is 1 .
LCM of Denominators means LCM of 305,7531 as per the given fractions.
LCM of 305,7531 is 2296955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 188,1731
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 1731
List of positive integer factors of 1731 that divides 1731 without a remainder.
1,3,577,1731
Greatest Common Factor
We found the factors 188,1731 . The biggest common factor number is the GCF number.
So the greatest common factor 188,1731 is 1.
Lets's calculate LCM of 305,7531
Given numbers has no common factors except 1. So, there LCM is their product i.e 2296955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2296955
Therefore, the GCF of Fractions 188/305,1731/7531 is 1/2296955
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 305,7531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,7531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,7531) x common factors =1 x 1 = 1
LCM(305,7531) = ( 305 × 7531 ) / 1
LCM(305,7531) = 2296955 / 1
LCM(305,7531) = 2296955
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 188/305, 1731/7531?
Answer: GCF of Numerators as per given numbers 188/305, 1731/7531 is
GCF of Numerators i.e. for 188,1731 is 1
LCM of denominators i.e. for 305,7531 is 2296955.
Thus, GCF of Fractions is 1/2296955.Finally, GCF of Fractions for 188/305, 1731/7531 is 1/2296955.