Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4684/21,1847/109
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 4684,1847
Greatest Common Factor of Numerators i.e. GCF of 4684,1847 is 1 .
LCM of Denominators means LCM of 21,109 as per the given fractions.
LCM of 21,109 is 2289 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4684,1847
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4684
List of positive integer factors of 4684 that divides 4684 without a remainder.
1,2,4,1171,2342,4684
Factors of 1847
List of positive integer factors of 1847 that divides 1847 without a remainder.
1,1847
Greatest Common Factor
We found the factors 4684,1847 . The biggest common factor number is the GCF number.
So the greatest common factor 4684,1847 is 1.
Lets's calculate LCM of 21,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 2289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2289
Therefore, the GCF of Fractions 4684/21,1847/109 is 1/2289
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 21,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,109) x common factors =1 x 1 = 1
LCM(21,109) = ( 21 × 109 ) / 1
LCM(21,109) = 2289 / 1
LCM(21,109) = 2289
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 4684/21, 1847/109?
Answer: GCF of Numerators as per given numbers 4684/21, 1847/109 is
GCF of Numerators i.e. for 4684,1847 is 1
LCM of denominators i.e. for 21,109 is 2289.
Thus, GCF of Fractions is 1/2289.Finally, GCF of Fractions for 4684/21, 1847/109 is 1/2289.