Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 401/45,6330/559
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 401,6330
Greatest Common Factor of Numerators i.e. GCF of 401,6330 is 1 .
LCM of Denominators means LCM of 45,559 as per the given fractions.
LCM of 45,559 is 25155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 401,6330
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 6330
List of positive integer factors of 6330 that divides 6330 without a remainder.
1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330
Greatest Common Factor
We found the factors 401,6330 . The biggest common factor number is the GCF number.
So the greatest common factor 401,6330 is 1.
Lets's calculate LCM of 45,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 25155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25155
Therefore, the GCF of Fractions 401/45,6330/559 is 1/25155
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 45,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,559) x common factors =1 x 1 = 1
LCM(45,559) = ( 45 × 559 ) / 1
LCM(45,559) = 25155 / 1
LCM(45,559) = 25155
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 401/45, 6330/559?
Answer: GCF of Numerators as per given numbers 401/45, 6330/559 is
GCF of Numerators i.e. for 401,6330 is 1
LCM of denominators i.e. for 45,559 is 25155.
Thus, GCF of Fractions is 1/25155.Finally, GCF of Fractions for 401/45, 6330/559 is 1/25155.