Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2018/49,2205/183
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 2018,2205
Greatest Common Factor of Numerators i.e. GCF of 2018,2205 is 1 .
LCM of Denominators means LCM of 49,183 as per the given fractions.
LCM of 49,183 is 8967 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2018,2205
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2018
List of positive integer factors of 2018 that divides 2018 without a remainder.
1,2,1009,2018
Factors of 2205
List of positive integer factors of 2205 that divides 2205 without a remainder.
1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205
Greatest Common Factor
We found the factors 2018,2205 . The biggest common factor number is the GCF number.
So the greatest common factor 2018,2205 is 1.
Lets's calculate LCM of 49,183
Given numbers has no common factors except 1. So, there LCM is their product i.e 8967
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8967
Therefore, the GCF of Fractions 2018/49,2205/183 is 1/8967
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 49,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,183) x common factors =1 x 1 = 1
LCM(49,183) = ( 49 × 183 ) / 1
LCM(49,183) = 8967 / 1
LCM(49,183) = 8967
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 2018/49, 2205/183?
Answer: GCF of Numerators as per given numbers 2018/49, 2205/183 is
GCF of Numerators i.e. for 2018,2205 is 1
LCM of denominators i.e. for 49,183 is 8967.
Thus, GCF of Fractions is 1/8967.Finally, GCF of Fractions for 2018/49, 2205/183 is 1/8967.