Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1640/333,8147/1816
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 1640,8147
Greatest Common Factor of Numerators i.e. GCF of 1640,8147 is 1 .
LCM of Denominators means LCM of 333,1816 as per the given fractions.
LCM of 333,1816 is 604728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1640,8147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1640
List of positive integer factors of 1640 that divides 1640 without a remainder.
1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Factors of 8147
List of positive integer factors of 8147 that divides 8147 without a remainder.
1,8147
Greatest Common Factor
We found the factors 1640,8147 . The biggest common factor number is the GCF number.
So the greatest common factor 1640,8147 is 1.
Lets's calculate LCM of 333,1816
Given numbers has no common factors except 1. So, there LCM is their product i.e 604728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/604728
Therefore, the GCF of Fractions 1640/333,8147/1816 is 1/604728
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 333,1816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,1816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,1816) x common factors =1 x 1 = 1
LCM(333,1816) = ( 333 × 1816 ) / 1
LCM(333,1816) = 604728 / 1
LCM(333,1816) = 604728
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 1640/333, 8147/1816?
Answer: GCF of Numerators as per given numbers 1640/333, 8147/1816 is
GCF of Numerators i.e. for 1640,8147 is 1
LCM of denominators i.e. for 333,1816 is 604728.
Thus, GCF of Fractions is 1/604728.Finally, GCF of Fractions for 1640/333, 8147/1816 is 1/604728.