Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 233/827,6420/189
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 233,6420
Greatest Common Factor of Numerators i.e. GCF of 233,6420 is 1 .
LCM of Denominators means LCM of 827,189 as per the given fractions.
LCM of 827,189 is 156303 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 233,6420
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Factors of 6420
List of positive integer factors of 6420 that divides 6420 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420
Greatest Common Factor
We found the factors 233,6420 . The biggest common factor number is the GCF number.
So the greatest common factor 233,6420 is 1.
Lets's calculate LCM of 827,189
Given numbers has no common factors except 1. So, there LCM is their product i.e 156303
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156303
Therefore, the GCF of Fractions 233/827,6420/189 is 1/156303
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 827,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,189) x common factors =1 x 1 = 1
LCM(827,189) = ( 827 × 189 ) / 1
LCM(827,189) = 156303 / 1
LCM(827,189) = 156303
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 233/827, 6420/189?
Answer: GCF of Numerators as per given numbers 233/827, 6420/189 is
GCF of Numerators i.e. for 233,6420 is 1
LCM of denominators i.e. for 827,189 is 156303.
Thus, GCF of Fractions is 1/156303.Finally, GCF of Fractions for 233/827, 6420/189 is 1/156303.