Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3729/41,8870/573
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 3729,8870
Greatest Common Factor of Numerators i.e. GCF of 3729,8870 is 1 .
LCM of Denominators means LCM of 41,573 as per the given fractions.
LCM of 41,573 is 23493 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3729,8870
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3729
List of positive integer factors of 3729 that divides 3729 without a remainder.
1,3,11,33,113,339,1243,3729
Factors of 8870
List of positive integer factors of 8870 that divides 8870 without a remainder.
1,2,5,10,887,1774,4435,8870
Greatest Common Factor
We found the factors 3729,8870 . The biggest common factor number is the GCF number.
So the greatest common factor 3729,8870 is 1.
Lets's calculate LCM of 41,573
Given numbers has no common factors except 1. So, there LCM is their product i.e 23493
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23493
Therefore, the GCF of Fractions 3729/41,8870/573 is 1/23493
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 41,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,573) x common factors =1 x 1 = 1
LCM(41,573) = ( 41 × 573 ) / 1
LCM(41,573) = 23493 / 1
LCM(41,573) = 23493
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 3729/41, 8870/573?
Answer: GCF of Numerators as per given numbers 3729/41, 8870/573 is
GCF of Numerators i.e. for 3729,8870 is 1
LCM of denominators i.e. for 41,573 is 23493.
Thus, GCF of Fractions is 1/23493.Finally, GCF of Fractions for 3729/41, 8870/573 is 1/23493.