Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3183/520,4878/6899
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 3183,4878
Greatest Common Factor of Numerators i.e. GCF of 3183,4878 is 3 .
LCM of Denominators means LCM of 520,6899 as per the given fractions.
LCM of 520,6899 is 3587480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3183,4878
3 | 3183, 4878 |
1061, 1626 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3183
List of positive integer factors of 3183 that divides 3183 without a remainder.
1,3,1061,3183
Factors of 4878
List of positive integer factors of 4878 that divides 4878 without a remainder.
1,2,3,6,9,18,271,542,813,1626,2439,4878
Greatest Common Factor
We found the factors 3183,4878 . The biggest common factor number is the GCF number.
So the greatest common factor 3183,4878 is 3.
Lets's calculate LCM of 520,6899
Given numbers has no common factors except 1. So, there LCM is their product i.e 3587480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3587480
Therefore, the GCF of Fractions 3183/520,4878/6899 is 3/3587480
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 520,6899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,6899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(520,6899) x common factors =1 x 1 = 1
LCM(520,6899) = ( 520 × 6899 ) / 1
LCM(520,6899) = 3587480 / 1
LCM(520,6899) = 3587480
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 3183/520, 4878/6899?
Answer: GCF of Numerators as per given numbers 3183/520, 4878/6899 is
GCF of Numerators i.e. for 3183,4878 is 3
LCM of denominators i.e. for 520,6899 is 3587480.
Thus, GCF of Fractions is 3/3587480.Finally, GCF of Fractions for 3183/520, 4878/6899 is 3/3587480.