Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 31/432,147/571
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 31,147
Greatest Common Factor of Numerators i.e. GCF of 31,147 is 1 .
LCM of Denominators means LCM of 432,571 as per the given fractions.
LCM of 432,571 is 246672 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 31,147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 31,147 . The biggest common factor number is the GCF number.
So the greatest common factor 31,147 is 1.
Lets's calculate LCM of 432,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 246672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/246672
Therefore, the GCF of Fractions 31/432,147/571 is 1/246672
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 432,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(432,571) x common factors =1 x 1 = 1
LCM(432,571) = ( 432 × 571 ) / 1
LCM(432,571) = 246672 / 1
LCM(432,571) = 246672
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 31/432, 147/571?
Answer: GCF of Numerators as per given numbers 31/432, 147/571 is
GCF of Numerators i.e. for 31,147 is 1
LCM of denominators i.e. for 432,571 is 246672.
Thus, GCF of Fractions is 1/246672.Finally, GCF of Fractions for 31/432, 147/571 is 1/246672.