Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/523,91/321,221/347
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 12,91,221
Greatest Common Factor of Numerators i.e. GCF of 12,91,221 is 1 .
LCM of Denominators means LCM of 523,321,347 as per the given fractions.
LCM of 523,321,347 is 58255401 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 12,91,221
∴ 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 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 12,91,221 . The biggest common factor number is the GCF number.
So the greatest common factor 12,91,221 is 1.
Lets's calculate LCM of 523,321,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 58255401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58255401
Therefore, the GCF of Fractions 12/523,91/321,221/347 is 1/58255401
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 523,321,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,321,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,321,347) x common factors =1 x 1 = 1
LCM(523,321,347) = ( 523 × 321 × 347 ) / 1
LCM(523,321,347) = 58255401 / 1
LCM(523,321,347) = 58255401
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 12/523, 91/321, 221/347?
Answer: GCF of Numerators as per given numbers 12/523, 91/321, 221/347 is
GCF of Numerators i.e. for 12,91,221 is 1
LCM of denominators i.e. for 523,321,347 is 58255401.
Thus, GCF of Fractions is 1/58255401.Finally, GCF of Fractions for 12/523, 91/321, 221/347 is 1/58255401.