Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8608/372,9061/305
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 8608,9061
Greatest Common Factor of Numerators i.e. GCF of 8608,9061 is 1 .
LCM of Denominators means LCM of 372,305 as per the given fractions.
LCM of 372,305 is 113460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8608,9061
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8608
List of positive integer factors of 8608 that divides 8608 without a remainder.
1,2,4,8,16,32,269,538,1076,2152,4304,8608
Factors of 9061
List of positive integer factors of 9061 that divides 9061 without a remainder.
1,13,17,41,221,533,697,9061
Greatest Common Factor
We found the factors 8608,9061 . The biggest common factor number is the GCF number.
So the greatest common factor 8608,9061 is 1.
Lets's calculate LCM of 372,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 113460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113460
Therefore, the GCF of Fractions 8608/372,9061/305 is 1/113460
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 372,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(372,305) x common factors =1 x 1 = 1
LCM(372,305) = ( 372 × 305 ) / 1
LCM(372,305) = 113460 / 1
LCM(372,305) = 113460
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 8608/372, 9061/305?
Answer: GCF of Numerators as per given numbers 8608/372, 9061/305 is
GCF of Numerators i.e. for 8608,9061 is 1
LCM of denominators i.e. for 372,305 is 113460.
Thus, GCF of Fractions is 1/113460.Finally, GCF of Fractions for 8608/372, 9061/305 is 1/113460.