Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8046/201,4099/7018
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 8046,4099
Greatest Common Factor of Numerators i.e. GCF of 8046,4099 is 1 .
LCM of Denominators means LCM of 201,7018 as per the given fractions.
LCM of 201,7018 is 1410618 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8046,4099
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8046
List of positive integer factors of 8046 that divides 8046 without a remainder.
1,2,3,6,9,18,27,54,149,298,447,894,1341,2682,4023,8046
Factors of 4099
List of positive integer factors of 4099 that divides 4099 without a remainder.
1,4099
Greatest Common Factor
We found the factors 8046,4099 . The biggest common factor number is the GCF number.
So the greatest common factor 8046,4099 is 1.
Lets's calculate LCM of 201,7018
Given numbers has no common factors except 1. So, there LCM is their product i.e 1410618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1410618
Therefore, the GCF of Fractions 8046/201,4099/7018 is 1/1410618
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 201,7018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,7018) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,7018) x common factors =1 x 1 = 1
LCM(201,7018) = ( 201 × 7018 ) / 1
LCM(201,7018) = 1410618 / 1
LCM(201,7018) = 1410618
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 8046/201, 4099/7018?
Answer: GCF of Numerators as per given numbers 8046/201, 4099/7018 is
GCF of Numerators i.e. for 8046,4099 is 1
LCM of denominators i.e. for 201,7018 is 1410618.
Thus, GCF of Fractions is 1/1410618.Finally, GCF of Fractions for 8046/201, 4099/7018 is 1/1410618.