Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 67/785,32/189
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 67,32
Greatest Common Factor of Numerators i.e. GCF of 67,32 is 1 .
LCM of Denominators means LCM of 785,189 as per the given fractions.
LCM of 785,189 is 148365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 67,32
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Greatest Common Factor
We found the factors 67,32 . The biggest common factor number is the GCF number.
So the greatest common factor 67,32 is 1.
Lets's calculate LCM of 785,189
Given numbers has no common factors except 1. So, there LCM is their product i.e 148365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148365
Therefore, the GCF of Fractions 67/785,32/189 is 1/148365
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 785,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,189) x common factors =1 x 1 = 1
LCM(785,189) = ( 785 × 189 ) / 1
LCM(785,189) = 148365 / 1
LCM(785,189) = 148365
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 67/785, 32/189?
Answer: GCF of Numerators as per given numbers 67/785, 32/189 is
GCF of Numerators i.e. for 67,32 is 1
LCM of denominators i.e. for 785,189 is 148365.
Thus, GCF of Fractions is 1/148365.Finally, GCF of Fractions for 67/785, 32/189 is 1/148365.