Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 570/903,2865/388
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 570,2865
Greatest Common Factor of Numerators i.e. GCF of 570,2865 is 15 .
LCM of Denominators means LCM of 903,388 as per the given fractions.
LCM of 903,388 is 350364 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 570,2865
3 | 570, 2865 |
5 | 190, 955 |
38, 191 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 2865
List of positive integer factors of 2865 that divides 2865 without a remainder.
1,3,5,15,191,573,955,2865
Greatest Common Factor
We found the factors 570,2865 . The biggest common factor number is the GCF number.
So the greatest common factor 570,2865 is 15.
Lets's calculate LCM of 903,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 350364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/350364
Therefore, the GCF of Fractions 570/903,2865/388 is 15/350364
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 903,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,388) x common factors =1 x 1 = 1
LCM(903,388) = ( 903 × 388 ) / 1
LCM(903,388) = 350364 / 1
LCM(903,388) = 350364
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 570/903, 2865/388?
Answer: GCF of Numerators as per given numbers 570/903, 2865/388 is
GCF of Numerators i.e. for 570,2865 is 15
LCM of denominators i.e. for 903,388 is 350364.
Thus, GCF of Fractions is 15/350364.Finally, GCF of Fractions for 570/903, 2865/388 is 15/350364.