Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8060/60,5339/661
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 8060,5339
Greatest Common Factor of Numerators i.e. GCF of 8060,5339 is 1 .
LCM of Denominators means LCM of 60,661 as per the given fractions.
LCM of 60,661 is 39660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8060,5339
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8060
List of positive integer factors of 8060 that divides 8060 without a remainder.
1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
Factors of 5339
List of positive integer factors of 5339 that divides 5339 without a remainder.
1,19,281,5339
Greatest Common Factor
We found the factors 8060,5339 . The biggest common factor number is the GCF number.
So the greatest common factor 8060,5339 is 1.
Lets's calculate LCM of 60,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 39660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39660
Therefore, the GCF of Fractions 8060/60,5339/661 is 1/39660
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 60,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,661) x common factors =1 x 1 = 1
LCM(60,661) = ( 60 × 661 ) / 1
LCM(60,661) = 39660 / 1
LCM(60,661) = 39660
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 8060/60, 5339/661?
Answer: GCF of Numerators as per given numbers 8060/60, 5339/661 is
GCF of Numerators i.e. for 8060,5339 is 1
LCM of denominators i.e. for 60,661 is 39660.
Thus, GCF of Fractions is 1/39660.Finally, GCF of Fractions for 8060/60, 5339/661 is 1/39660.