Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6195/566,4393/999
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 6195,4393
Greatest Common Factor of Numerators i.e. GCF of 6195,4393 is 1 .
LCM of Denominators means LCM of 566,999 as per the given fractions.
LCM of 566,999 is 565434 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6195,4393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6195
List of positive integer factors of 6195 that divides 6195 without a remainder.
1,3,5,7,15,21,35,59,105,177,295,413,885,1239,2065,6195
Factors of 4393
List of positive integer factors of 4393 that divides 4393 without a remainder.
1,23,191,4393
Greatest Common Factor
We found the factors 6195,4393 . The biggest common factor number is the GCF number.
So the greatest common factor 6195,4393 is 1.
Lets's calculate LCM of 566,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 565434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/565434
Therefore, the GCF of Fractions 6195/566,4393/999 is 1/565434
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 566,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(566,999) x common factors =1 x 1 = 1
LCM(566,999) = ( 566 × 999 ) / 1
LCM(566,999) = 565434 / 1
LCM(566,999) = 565434
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 6195/566, 4393/999?
Answer: GCF of Numerators as per given numbers 6195/566, 4393/999 is
GCF of Numerators i.e. for 6195,4393 is 1
LCM of denominators i.e. for 566,999 is 565434.
Thus, GCF of Fractions is 1/565434.Finally, GCF of Fractions for 6195/566, 4393/999 is 1/565434.