Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4549/927,9444/6361
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 4549,9444
Greatest Common Factor of Numerators i.e. GCF of 4549,9444 is 1 .
LCM of Denominators means LCM of 927,6361 as per the given fractions.
LCM of 927,6361 is 5896647 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4549,9444
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4549
List of positive integer factors of 4549 that divides 4549 without a remainder.
1,4549
Factors of 9444
List of positive integer factors of 9444 that divides 9444 without a remainder.
1,2,3,4,6,12,787,1574,2361,3148,4722,9444
Greatest Common Factor
We found the factors 4549,9444 . The biggest common factor number is the GCF number.
So the greatest common factor 4549,9444 is 1.
Lets's calculate LCM of 927,6361
Given numbers has no common factors except 1. So, there LCM is their product i.e 5896647
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5896647
Therefore, the GCF of Fractions 4549/927,9444/6361 is 1/5896647
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 927,6361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,6361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,6361) x common factors =1 x 1 = 1
LCM(927,6361) = ( 927 × 6361 ) / 1
LCM(927,6361) = 5896647 / 1
LCM(927,6361) = 5896647
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 4549/927, 9444/6361?
Answer: GCF of Numerators as per given numbers 4549/927, 9444/6361 is
GCF of Numerators i.e. for 4549,9444 is 1
LCM of denominators i.e. for 927,6361 is 5896647.
Thus, GCF of Fractions is 1/5896647.Finally, GCF of Fractions for 4549/927, 9444/6361 is 1/5896647.