Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4296/188,1345/6185
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 4296,1345
Greatest Common Factor of Numerators i.e. GCF of 4296,1345 is 1 .
LCM of Denominators means LCM of 188,6185 as per the given fractions.
LCM of 188,6185 is 1162780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4296,1345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4296
List of positive integer factors of 4296 that divides 4296 without a remainder.
1,2,3,4,6,8,12,24,179,358,537,716,1074,1432,2148,4296
Factors of 1345
List of positive integer factors of 1345 that divides 1345 without a remainder.
1,5,269,1345
Greatest Common Factor
We found the factors 4296,1345 . The biggest common factor number is the GCF number.
So the greatest common factor 4296,1345 is 1.
Lets's calculate LCM of 188,6185
Given numbers has no common factors except 1. So, there LCM is their product i.e 1162780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1162780
Therefore, the GCF of Fractions 4296/188,1345/6185 is 1/1162780
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 188,6185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,6185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(188,6185) x common factors =1 x 1 = 1
LCM(188,6185) = ( 188 × 6185 ) / 1
LCM(188,6185) = 1162780 / 1
LCM(188,6185) = 1162780
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 4296/188, 1345/6185?
Answer: GCF of Numerators as per given numbers 4296/188, 1345/6185 is
GCF of Numerators i.e. for 4296,1345 is 1
LCM of denominators i.e. for 188,6185 is 1162780.
Thus, GCF of Fractions is 1/1162780.Finally, GCF of Fractions for 4296/188, 1345/6185 is 1/1162780.