Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4509/111,6559/1994
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 4509,6559
Greatest Common Factor of Numerators i.e. GCF of 4509,6559 is 1 .
LCM of Denominators means LCM of 111,1994 as per the given fractions.
LCM of 111,1994 is 221334 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4509,6559
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4509
List of positive integer factors of 4509 that divides 4509 without a remainder.
1,3,9,27,167,501,1503,4509
Factors of 6559
List of positive integer factors of 6559 that divides 6559 without a remainder.
1,7,937,6559
Greatest Common Factor
We found the factors 4509,6559 . The biggest common factor number is the GCF number.
So the greatest common factor 4509,6559 is 1.
Lets's calculate LCM of 111,1994
Given numbers has no common factors except 1. So, there LCM is their product i.e 221334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221334
Therefore, the GCF of Fractions 4509/111,6559/1994 is 1/221334
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 111,1994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,1994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,1994) x common factors =1 x 1 = 1
LCM(111,1994) = ( 111 × 1994 ) / 1
LCM(111,1994) = 221334 / 1
LCM(111,1994) = 221334
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 4509/111, 6559/1994?
Answer: GCF of Numerators as per given numbers 4509/111, 6559/1994 is
GCF of Numerators i.e. for 4509,6559 is 1
LCM of denominators i.e. for 111,1994 is 221334.
Thus, GCF of Fractions is 1/221334.Finally, GCF of Fractions for 4509/111, 6559/1994 is 1/221334.