Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1859/501,8875/593
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 1859,8875
Greatest Common Factor of Numerators i.e. GCF of 1859,8875 is 1 .
LCM of Denominators means LCM of 501,593 as per the given fractions.
LCM of 501,593 is 297093 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1859,8875
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1859
List of positive integer factors of 1859 that divides 1859 without a remainder.
1,11,13,143,169,1859
Factors of 8875
List of positive integer factors of 8875 that divides 8875 without a remainder.
1,5,25,71,125,355,1775,8875
Greatest Common Factor
We found the factors 1859,8875 . The biggest common factor number is the GCF number.
So the greatest common factor 1859,8875 is 1.
Lets's calculate LCM of 501,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 297093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297093
Therefore, the GCF of Fractions 1859/501,8875/593 is 1/297093
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 501,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,593) x common factors =1 x 1 = 1
LCM(501,593) = ( 501 × 593 ) / 1
LCM(501,593) = 297093 / 1
LCM(501,593) = 297093
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 1859/501, 8875/593?
Answer: GCF of Numerators as per given numbers 1859/501, 8875/593 is
GCF of Numerators i.e. for 1859,8875 is 1
LCM of denominators i.e. for 501,593 is 297093.
Thus, GCF of Fractions is 1/297093.Finally, GCF of Fractions for 1859/501, 8875/593 is 1/297093.