Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/844,64/673,313/161
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 12,64,313
Greatest Common Factor of Numerators i.e. GCF of 12,64,313 is 1 .
LCM of Denominators means LCM of 844,673,161 as per the given fractions.
LCM of 844,673,161 is 91449932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,64,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Greatest Common Factor
We found the factors 12,64,313 . The biggest common factor number is the GCF number.
So the greatest common factor 12,64,313 is 1.
Lets's calculate LCM of 844,673,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 91449932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91449932
Therefore, the GCF of Fractions 12/844,64/673,313/161 is 1/91449932
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 844,673,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,673,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(844,673,161) x common factors =1 x 1 = 1
LCM(844,673,161) = ( 844 × 673 × 161 ) / 1
LCM(844,673,161) = 91449932 / 1
LCM(844,673,161) = 91449932
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 12/844, 64/673, 313/161?
Answer: GCF of Numerators as per given numbers 12/844, 64/673, 313/161 is
GCF of Numerators i.e. for 12,64,313 is 1
LCM of denominators i.e. for 844,673,161 is 91449932.
Thus, GCF of Fractions is 1/91449932.Finally, GCF of Fractions for 12/844, 64/673, 313/161 is 1/91449932.