Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3205/75,8785/556
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 3205,8785
Greatest Common Factor of Numerators i.e. GCF of 3205,8785 is 5 .
LCM of Denominators means LCM of 75,556 as per the given fractions.
LCM of 75,556 is 41700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3205,8785
5 | 3205, 8785 |
641, 1757 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3205
List of positive integer factors of 3205 that divides 3205 without a remainder.
1,5,641,3205
Factors of 8785
List of positive integer factors of 8785 that divides 8785 without a remainder.
1,5,7,35,251,1255,1757,8785
Greatest Common Factor
We found the factors 3205,8785 . The biggest common factor number is the GCF number.
So the greatest common factor 3205,8785 is 5.
Lets's calculate LCM of 75,556
Given numbers has no common factors except 1. So, there LCM is their product i.e 41700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/41700
Therefore, the GCF of Fractions 3205/75,8785/556 is 5/41700
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 75,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,556) x common factors =1 x 1 = 1
LCM(75,556) = ( 75 × 556 ) / 1
LCM(75,556) = 41700 / 1
LCM(75,556) = 41700
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 3205/75, 8785/556?
Answer: GCF of Numerators as per given numbers 3205/75, 8785/556 is
GCF of Numerators i.e. for 3205,8785 is 5
LCM of denominators i.e. for 75,556 is 41700.
Thus, GCF of Fractions is 5/41700.Finally, GCF of Fractions for 3205/75, 8785/556 is 5/41700.