Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4793/356,9438/1838
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 4793,9438
Greatest Common Factor of Numerators i.e. GCF of 4793,9438 is 1 .
LCM of Denominators means LCM of 356,1838 as per the given fractions.
LCM of 356,1838 is 327164 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4793,9438
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4793
List of positive integer factors of 4793 that divides 4793 without a remainder.
1,4793
Factors of 9438
List of positive integer factors of 9438 that divides 9438 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438
Greatest Common Factor
We found the factors 4793,9438 . The biggest common factor number is the GCF number.
So the greatest common factor 4793,9438 is 1.
Lets's calculate LCM of 356,1838
2 | 356, 1838 |
178, 919 |
∴ So the LCM of the given numbers is 2 x 178 x 919 = 327164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327164
Therefore, the GCF of Fractions 4793/356,9438/1838 is 1/327164
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 356,1838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,1838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(356,1838) x common factors =2 x 1 = 2
LCM(356,1838) = ( 356 × 1838 ) / 2
LCM(356,1838) = 654328 / 2
LCM(356,1838) = 327164
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 4793/356, 9438/1838?
Answer: GCF of Numerators as per given numbers 4793/356, 9438/1838 is
GCF of Numerators i.e. for 4793,9438 is 1
LCM of denominators i.e. for 356,1838 is 327164.
Thus, GCF of Fractions is 1/327164.Finally, GCF of Fractions for 4793/356, 9438/1838 is 1/327164.