Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8100/27,4022/478
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 8100,4022
Greatest Common Factor of Numerators i.e. GCF of 8100,4022 is 2 .
LCM of Denominators means LCM of 27,478 as per the given fractions.
LCM of 27,478 is 12906 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8100,4022
2 | 8100, 4022 |
4050, 2011 |
∴ So the GCF of the given numbers is 2 = 2
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 4022
List of positive integer factors of 4022 that divides 4022 without a remainder.
1,2,2011,4022
Greatest Common Factor
We found the factors 8100,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 8100,4022 is 2.
Lets's calculate LCM of 27,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 12906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12906
Therefore, the GCF of Fractions 8100/27,4022/478 is 2/12906
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 27,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,478) x common factors =1 x 1 = 1
LCM(27,478) = ( 27 × 478 ) / 1
LCM(27,478) = 12906 / 1
LCM(27,478) = 12906
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 8100/27, 4022/478?
Answer: GCF of Numerators as per given numbers 8100/27, 4022/478 is
GCF of Numerators i.e. for 8100,4022 is 2
LCM of denominators i.e. for 27,478 is 12906.
Thus, GCF of Fractions is 2/12906.Finally, GCF of Fractions for 8100/27, 4022/478 is 2/12906.