Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 221/29,580/3908
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 221,580
Greatest Common Factor of Numerators i.e. GCF of 221,580 is 1 .
LCM of Denominators means LCM of 29,3908 as per the given fractions.
LCM of 29,3908 is 113332 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 221,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 221,580 . The biggest common factor number is the GCF number.
So the greatest common factor 221,580 is 1.
Lets's calculate LCM of 29,3908
Given numbers has no common factors except 1. So, there LCM is their product i.e 113332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113332
Therefore, the GCF of Fractions 221/29,580/3908 is 1/113332
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 29,3908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,3908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,3908) x common factors =1 x 1 = 1
LCM(29,3908) = ( 29 × 3908 ) / 1
LCM(29,3908) = 113332 / 1
LCM(29,3908) = 113332
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 221/29, 580/3908?
Answer: GCF of Numerators as per given numbers 221/29, 580/3908 is
GCF of Numerators i.e. for 221,580 is 1
LCM of denominators i.e. for 29,3908 is 113332.
Thus, GCF of Fractions is 1/113332.Finally, GCF of Fractions for 221/29, 580/3908 is 1/113332.