Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4186/180,4101/6143
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 4186,4101
Greatest Common Factor of Numerators i.e. GCF of 4186,4101 is 1 .
LCM of Denominators means LCM of 180,6143 as per the given fractions.
LCM of 180,6143 is 1105740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4186,4101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4186
List of positive integer factors of 4186 that divides 4186 without a remainder.
1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186
Factors of 4101
List of positive integer factors of 4101 that divides 4101 without a remainder.
1,3,1367,4101
Greatest Common Factor
We found the factors 4186,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 4186,4101 is 1.
Lets's calculate LCM of 180,6143
Given numbers has no common factors except 1. So, there LCM is their product i.e 1105740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1105740
Therefore, the GCF of Fractions 4186/180,4101/6143 is 1/1105740
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 180,6143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,6143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,6143) x common factors =1 x 1 = 1
LCM(180,6143) = ( 180 × 6143 ) / 1
LCM(180,6143) = 1105740 / 1
LCM(180,6143) = 1105740
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 4186/180, 4101/6143?
Answer: GCF of Numerators as per given numbers 4186/180, 4101/6143 is
GCF of Numerators i.e. for 4186,4101 is 1
LCM of denominators i.e. for 180,6143 is 1105740.
Thus, GCF of Fractions is 1/1105740.Finally, GCF of Fractions for 4186/180, 4101/6143 is 1/1105740.