Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8300/683,4080/999
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 8300,4080
Greatest Common Factor of Numerators i.e. GCF of 8300,4080 is 20 .
LCM of Denominators means LCM of 683,999 as per the given fractions.
LCM of 683,999 is 682317 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8300,4080
2 | 8300, 4080 |
2 | 4150, 2040 |
5 | 2075, 1020 |
415, 204 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Factors of 8300
List of positive integer factors of 8300 that divides 8300 without a remainder.
1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300
Factors of 4080
List of positive integer factors of 4080 that divides 4080 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,34,40,48,51,60,68,80,85,102,120,136,170,204,240,255,272,340,408,510,680,816,1020,1360,2040,4080
Greatest Common Factor
We found the factors 8300,4080 . The biggest common factor number is the GCF number.
So the greatest common factor 8300,4080 is 20.
Lets's calculate LCM of 683,999
Given numbers has no common factors except 1. So, there LCM is their product i.e 682317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/682317
Therefore, the GCF of Fractions 8300/683,4080/999 is 20/682317
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 683,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,999) x common factors =1 x 1 = 1
LCM(683,999) = ( 683 × 999 ) / 1
LCM(683,999) = 682317 / 1
LCM(683,999) = 682317
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 8300/683, 4080/999?
Answer: GCF of Numerators as per given numbers 8300/683, 4080/999 is
GCF of Numerators i.e. for 8300,4080 is 20
LCM of denominators i.e. for 683,999 is 682317.
Thus, GCF of Fractions is 20/682317.Finally, GCF of Fractions for 8300/683, 4080/999 is 20/682317.