Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4010/888,2578/9303
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 4010,2578
Greatest Common Factor of Numerators i.e. GCF of 4010,2578 is 2 .
LCM of Denominators means LCM of 888,9303 as per the given fractions.
LCM of 888,9303 is 2753688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4010,2578
2 | 4010, 2578 |
2005, 1289 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4010
List of positive integer factors of 4010 that divides 4010 without a remainder.
1,2,5,10,401,802,2005,4010
Factors of 2578
List of positive integer factors of 2578 that divides 2578 without a remainder.
1,2,1289,2578
Greatest Common Factor
We found the factors 4010,2578 . The biggest common factor number is the GCF number.
So the greatest common factor 4010,2578 is 2.
Lets's calculate LCM of 888,9303
3 | 888, 9303 |
296, 3101 |
∴ So the LCM of the given numbers is 3 x 296 x 3101 = 2753688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2753688
Therefore, the GCF of Fractions 4010/888,2578/9303 is 2/2753688
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 888,9303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,9303) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(888,9303) x common factors =3 x 1 = 3
LCM(888,9303) = ( 888 × 9303 ) / 3
LCM(888,9303) = 8261064 / 3
LCM(888,9303) = 2753688
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 4010/888, 2578/9303?
Answer: GCF of Numerators as per given numbers 4010/888, 2578/9303 is
GCF of Numerators i.e. for 4010,2578 is 2
LCM of denominators i.e. for 888,9303 is 2753688.
Thus, GCF of Fractions is 2/2753688.Finally, GCF of Fractions for 4010/888, 2578/9303 is 2/2753688.