Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/927,5299/7373
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 60,5299
Greatest Common Factor of Numerators i.e. GCF of 60,5299 is 1 .
LCM of Denominators means LCM of 927,7373 as per the given fractions.
LCM of 927,7373 is 6834771 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 60,5299
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 5299
List of positive integer factors of 5299 that divides 5299 without a remainder.
1,7,757,5299
Greatest Common Factor
We found the factors 60,5299 . The biggest common factor number is the GCF number.
So the greatest common factor 60,5299 is 1.
Lets's calculate LCM of 927,7373
Given numbers has no common factors except 1. So, there LCM is their product i.e 6834771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6834771
Therefore, the GCF of Fractions 60/927,5299/7373 is 1/6834771
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 927,7373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,7373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,7373) x common factors =1 x 1 = 1
LCM(927,7373) = ( 927 × 7373 ) / 1
LCM(927,7373) = 6834771 / 1
LCM(927,7373) = 6834771
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 60/927, 5299/7373?
Answer: GCF of Numerators as per given numbers 60/927, 5299/7373 is
GCF of Numerators i.e. for 60,5299 is 1
LCM of denominators i.e. for 927,7373 is 6834771.
Thus, GCF of Fractions is 1/6834771.Finally, GCF of Fractions for 60/927, 5299/7373 is 1/6834771.