Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2824/19,1545/711
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 2824,1545
Greatest Common Factor of Numerators i.e. GCF of 2824,1545 is 1 .
LCM of Denominators means LCM of 19,711 as per the given fractions.
LCM of 19,711 is 13509 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2824,1545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2824
List of positive integer factors of 2824 that divides 2824 without a remainder.
1,2,4,8,353,706,1412,2824
Factors of 1545
List of positive integer factors of 1545 that divides 1545 without a remainder.
1,3,5,15,103,309,515,1545
Greatest Common Factor
We found the factors 2824,1545 . The biggest common factor number is the GCF number.
So the greatest common factor 2824,1545 is 1.
Lets's calculate LCM of 19,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 13509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13509
Therefore, the GCF of Fractions 2824/19,1545/711 is 1/13509
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 19,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,711) x common factors =1 x 1 = 1
LCM(19,711) = ( 19 × 711 ) / 1
LCM(19,711) = 13509 / 1
LCM(19,711) = 13509
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 2824/19, 1545/711?
Answer: GCF of Numerators as per given numbers 2824/19, 1545/711 is
GCF of Numerators i.e. for 2824,1545 is 1
LCM of denominators i.e. for 19,711 is 13509.
Thus, GCF of Fractions is 1/13509.Finally, GCF of Fractions for 2824/19, 1545/711 is 1/13509.