Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3884/183,6089/253
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 3884,6089
Greatest Common Factor of Numerators i.e. GCF of 3884,6089 is 1 .
LCM of Denominators means LCM of 183,253 as per the given fractions.
LCM of 183,253 is 46299 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3884,6089
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3884
List of positive integer factors of 3884 that divides 3884 without a remainder.
1,2,4,971,1942,3884
Factors of 6089
List of positive integer factors of 6089 that divides 6089 without a remainder.
1,6089
Greatest Common Factor
We found the factors 3884,6089 . The biggest common factor number is the GCF number.
So the greatest common factor 3884,6089 is 1.
Lets's calculate LCM of 183,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 46299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46299
Therefore, the GCF of Fractions 3884/183,6089/253 is 1/46299
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 183,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,253) x common factors =1 x 1 = 1
LCM(183,253) = ( 183 × 253 ) / 1
LCM(183,253) = 46299 / 1
LCM(183,253) = 46299
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 3884/183, 6089/253?
Answer: GCF of Numerators as per given numbers 3884/183, 6089/253 is
GCF of Numerators i.e. for 3884,6089 is 1
LCM of denominators i.e. for 183,253 is 46299.
Thus, GCF of Fractions is 1/46299.Finally, GCF of Fractions for 3884/183, 6089/253 is 1/46299.