Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8100/43,1710/268
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 8100,1710
Greatest Common Factor of Numerators i.e. GCF of 8100,1710 is 90 .
LCM of Denominators means LCM of 43,268 as per the given fractions.
LCM of 43,268 is 11524 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8100,1710
2 | 8100, 1710 |
3 | 4050, 855 |
3 | 1350, 285 |
5 | 450, 95 |
90, 19 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 5 = 90
Factors of 8100
List of positive integer factors of 8100 that divides 8100 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,81,90,100,108,135,150,162,180,225,270,300,324,405,450,540,675,810,900,1350,1620,2025,2700,4050,8100
Factors of 1710
List of positive integer factors of 1710 that divides 1710 without a remainder.
1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710
Greatest Common Factor
We found the factors 8100,1710 . The biggest common factor number is the GCF number.
So the greatest common factor 8100,1710 is 90.
Lets's calculate LCM of 43,268
Given numbers has no common factors except 1. So, there LCM is their product i.e 11524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 90/11524
Therefore, the GCF of Fractions 8100/43,1710/268 is 90/11524
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 43,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,268) x common factors =1 x 1 = 1
LCM(43,268) = ( 43 × 268 ) / 1
LCM(43,268) = 11524 / 1
LCM(43,268) = 11524
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 8100/43, 1710/268?
Answer: GCF of Numerators as per given numbers 8100/43, 1710/268 is
GCF of Numerators i.e. for 8100,1710 is 90
LCM of denominators i.e. for 43,268 is 11524.
Thus, GCF of Fractions is 90/11524.Finally, GCF of Fractions for 8100/43, 1710/268 is 90/11524.