Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 603/54,870/2017
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 603,870
Greatest Common Factor of Numerators i.e. GCF of 603,870 is 3 .
LCM of Denominators means LCM of 54,2017 as per the given fractions.
LCM of 54,2017 is 108918 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 603,870
3 | 603, 870 |
201, 290 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 603,870 . The biggest common factor number is the GCF number.
So the greatest common factor 603,870 is 3.
Lets's calculate LCM of 54,2017
Given numbers has no common factors except 1. So, there LCM is their product i.e 108918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/108918
Therefore, the GCF of Fractions 603/54,870/2017 is 3/108918
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 54,2017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,2017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,2017) x common factors =1 x 1 = 1
LCM(54,2017) = ( 54 × 2017 ) / 1
LCM(54,2017) = 108918 / 1
LCM(54,2017) = 108918
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 603/54, 870/2017?
Answer: GCF of Numerators as per given numbers 603/54, 870/2017 is
GCF of Numerators i.e. for 603,870 is 3
LCM of denominators i.e. for 54,2017 is 108918.
Thus, GCF of Fractions is 3/108918.Finally, GCF of Fractions for 603/54, 870/2017 is 3/108918.