Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3078/393,8644/3319
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 3078,8644
Greatest Common Factor of Numerators i.e. GCF of 3078,8644 is 2 .
LCM of Denominators means LCM of 393,3319 as per the given fractions.
LCM of 393,3319 is 1304367 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3078,8644
2 | 3078, 8644 |
1539, 4322 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3078
List of positive integer factors of 3078 that divides 3078 without a remainder.
1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078
Factors of 8644
List of positive integer factors of 8644 that divides 8644 without a remainder.
1,2,4,2161,4322,8644
Greatest Common Factor
We found the factors 3078,8644 . The biggest common factor number is the GCF number.
So the greatest common factor 3078,8644 is 2.
Lets's calculate LCM of 393,3319
Given numbers has no common factors except 1. So, there LCM is their product i.e 1304367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1304367
Therefore, the GCF of Fractions 3078/393,8644/3319 is 2/1304367
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 393,3319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,3319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(393,3319) x common factors =1 x 1 = 1
LCM(393,3319) = ( 393 × 3319 ) / 1
LCM(393,3319) = 1304367 / 1
LCM(393,3319) = 1304367
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 3078/393, 8644/3319?
Answer: GCF of Numerators as per given numbers 3078/393, 8644/3319 is
GCF of Numerators i.e. for 3078,8644 is 2
LCM of denominators i.e. for 393,3319 is 1304367.
Thus, GCF of Fractions is 2/1304367.Finally, GCF of Fractions for 3078/393, 8644/3319 is 2/1304367.