Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 601/39,3266/539
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 601,3266
Greatest Common Factor of Numerators i.e. GCF of 601,3266 is 1 .
LCM of Denominators means LCM of 39,539 as per the given fractions.
LCM of 39,539 is 21021 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 601,3266
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 3266
List of positive integer factors of 3266 that divides 3266 without a remainder.
1,2,23,46,71,142,1633,3266
Greatest Common Factor
We found the factors 601,3266 . The biggest common factor number is the GCF number.
So the greatest common factor 601,3266 is 1.
Lets's calculate LCM of 39,539
Given numbers has no common factors except 1. So, there LCM is their product i.e 21021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21021
Therefore, the GCF of Fractions 601/39,3266/539 is 1/21021
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 39,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,539) x common factors =1 x 1 = 1
LCM(39,539) = ( 39 × 539 ) / 1
LCM(39,539) = 21021 / 1
LCM(39,539) = 21021
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 601/39, 3266/539?
Answer: GCF of Numerators as per given numbers 601/39, 3266/539 is
GCF of Numerators i.e. for 601,3266 is 1
LCM of denominators i.e. for 39,539 is 21021.
Thus, GCF of Fractions is 1/21021.Finally, GCF of Fractions for 601/39, 3266/539 is 1/21021.