Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2059/59,1863/283
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 2059,1863
Greatest Common Factor of Numerators i.e. GCF of 2059,1863 is 1 .
LCM of Denominators means LCM of 59,283 as per the given fractions.
LCM of 59,283 is 16697 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2059,1863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2059
List of positive integer factors of 2059 that divides 2059 without a remainder.
1,29,71,2059
Factors of 1863
List of positive integer factors of 1863 that divides 1863 without a remainder.
1,3,9,23,27,69,81,207,621,1863
Greatest Common Factor
We found the factors 2059,1863 . The biggest common factor number is the GCF number.
So the greatest common factor 2059,1863 is 1.
Lets's calculate LCM of 59,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 16697
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16697
Therefore, the GCF of Fractions 2059/59,1863/283 is 1/16697
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 59,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,283) x common factors =1 x 1 = 1
LCM(59,283) = ( 59 × 283 ) / 1
LCM(59,283) = 16697 / 1
LCM(59,283) = 16697
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 2059/59, 1863/283?
Answer: GCF of Numerators as per given numbers 2059/59, 1863/283 is
GCF of Numerators i.e. for 2059,1863 is 1
LCM of denominators i.e. for 59,283 is 16697.
Thus, GCF of Fractions is 1/16697.Finally, GCF of Fractions for 2059/59, 1863/283 is 1/16697.