Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/946,2529/939
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 184,2529
Greatest Common Factor of Numerators i.e. GCF of 184,2529 is 1 .
LCM of Denominators means LCM of 946,939 as per the given fractions.
LCM of 946,939 is 888294 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 184,2529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 2529
List of positive integer factors of 2529 that divides 2529 without a remainder.
1,3,9,281,843,2529
Greatest Common Factor
We found the factors 184,2529 . The biggest common factor number is the GCF number.
So the greatest common factor 184,2529 is 1.
Lets's calculate LCM of 946,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 888294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/888294
Therefore, the GCF of Fractions 184/946,2529/939 is 1/888294
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 946,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(946,939) x common factors =1 x 1 = 1
LCM(946,939) = ( 946 × 939 ) / 1
LCM(946,939) = 888294 / 1
LCM(946,939) = 888294
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 184/946, 2529/939?
Answer: GCF of Numerators as per given numbers 184/946, 2529/939 is
GCF of Numerators i.e. for 184,2529 is 1
LCM of denominators i.e. for 946,939 is 888294.
Thus, GCF of Fractions is 1/888294.Finally, GCF of Fractions for 184/946, 2529/939 is 1/888294.