Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4569/56,9188/998
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 4569,9188
Greatest Common Factor of Numerators i.e. GCF of 4569,9188 is 1 .
LCM of Denominators means LCM of 56,998 as per the given fractions.
LCM of 56,998 is 27944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4569,9188
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4569
List of positive integer factors of 4569 that divides 4569 without a remainder.
1,3,1523,4569
Factors of 9188
List of positive integer factors of 9188 that divides 9188 without a remainder.
1,2,4,2297,4594,9188
Greatest Common Factor
We found the factors 4569,9188 . The biggest common factor number is the GCF number.
So the greatest common factor 4569,9188 is 1.
Lets's calculate LCM of 56,998
2 | 56, 998 |
28, 499 |
∴ So the LCM of the given numbers is 2 x 28 x 499 = 27944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27944
Therefore, the GCF of Fractions 4569/56,9188/998 is 1/27944
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 56,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(56,998) x common factors =2 x 1 = 2
LCM(56,998) = ( 56 × 998 ) / 2
LCM(56,998) = 55888 / 2
LCM(56,998) = 27944
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 4569/56, 9188/998?
Answer: GCF of Numerators as per given numbers 4569/56, 9188/998 is
GCF of Numerators i.e. for 4569,9188 is 1
LCM of denominators i.e. for 56,998 is 27944.
Thus, GCF of Fractions is 1/27944.Finally, GCF of Fractions for 4569/56, 9188/998 is 1/27944.