Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 221/537,9225/7853
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 221,9225
Greatest Common Factor of Numerators i.e. GCF of 221,9225 is 1 .
LCM of Denominators means LCM of 537,7853 as per the given fractions.
LCM of 537,7853 is 4217061 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 221,9225
∴ 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 9225
List of positive integer factors of 9225 that divides 9225 without a remainder.
1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225
Greatest Common Factor
We found the factors 221,9225 . The biggest common factor number is the GCF number.
So the greatest common factor 221,9225 is 1.
Lets's calculate LCM of 537,7853
Given numbers has no common factors except 1. So, there LCM is their product i.e 4217061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4217061
Therefore, the GCF of Fractions 221/537,9225/7853 is 1/4217061
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 537,7853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,7853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(537,7853) x common factors =1 x 1 = 1
LCM(537,7853) = ( 537 × 7853 ) / 1
LCM(537,7853) = 4217061 / 1
LCM(537,7853) = 4217061
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 221/537, 9225/7853?
Answer: GCF of Numerators as per given numbers 221/537, 9225/7853 is
GCF of Numerators i.e. for 221,9225 is 1
LCM of denominators i.e. for 537,7853 is 4217061.
Thus, GCF of Fractions is 1/4217061.Finally, GCF of Fractions for 221/537, 9225/7853 is 1/4217061.