Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9039/445,1335/873
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 9039,1335
Greatest Common Factor of Numerators i.e. GCF of 9039,1335 is 3 .
LCM of Denominators means LCM of 445,873 as per the given fractions.
LCM of 445,873 is 388485 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9039,1335
3 | 9039, 1335 |
3013, 445 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9039
List of positive integer factors of 9039 that divides 9039 without a remainder.
1,3,23,69,131,393,3013,9039
Factors of 1335
List of positive integer factors of 1335 that divides 1335 without a remainder.
1,3,5,15,89,267,445,1335
Greatest Common Factor
We found the factors 9039,1335 . The biggest common factor number is the GCF number.
So the greatest common factor 9039,1335 is 3.
Lets's calculate LCM of 445,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 388485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/388485
Therefore, the GCF of Fractions 9039/445,1335/873 is 3/388485
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 445,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,873) x common factors =1 x 1 = 1
LCM(445,873) = ( 445 × 873 ) / 1
LCM(445,873) = 388485 / 1
LCM(445,873) = 388485
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 9039/445, 1335/873?
Answer: GCF of Numerators as per given numbers 9039/445, 1335/873 is
GCF of Numerators i.e. for 9039,1335 is 3
LCM of denominators i.e. for 445,873 is 388485.
Thus, GCF of Fractions is 3/388485.Finally, GCF of Fractions for 9039/445, 1335/873 is 3/388485.