Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2218/582,1183/8546
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 2218,1183
Greatest Common Factor of Numerators i.e. GCF of 2218,1183 is 1 .
LCM of Denominators means LCM of 582,8546 as per the given fractions.
LCM of 582,8546 is 2486886 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2218,1183
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2218
List of positive integer factors of 2218 that divides 2218 without a remainder.
1,2,1109,2218
Factors of 1183
List of positive integer factors of 1183 that divides 1183 without a remainder.
1,7,13,91,169,1183
Greatest Common Factor
We found the factors 2218,1183 . The biggest common factor number is the GCF number.
So the greatest common factor 2218,1183 is 1.
Lets's calculate LCM of 582,8546
2 | 582, 8546 |
291, 4273 |
∴ So the LCM of the given numbers is 2 x 291 x 4273 = 2486886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2486886
Therefore, the GCF of Fractions 2218/582,1183/8546 is 1/2486886
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 582,8546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,8546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,8546) x common factors =2 x 1 = 2
LCM(582,8546) = ( 582 × 8546 ) / 2
LCM(582,8546) = 4973772 / 2
LCM(582,8546) = 2486886
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 2218/582, 1183/8546?
Answer: GCF of Numerators as per given numbers 2218/582, 1183/8546 is
GCF of Numerators i.e. for 2218,1183 is 1
LCM of denominators i.e. for 582,8546 is 2486886.
Thus, GCF of Fractions is 1/2486886.Finally, GCF of Fractions for 2218/582, 1183/8546 is 1/2486886.