Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6884/346,3084/580
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 6884,3084
Greatest Common Factor of Numerators i.e. GCF of 6884,3084 is 4 .
LCM of Denominators means LCM of 346,580 as per the given fractions.
LCM of 346,580 is 100340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6884,3084
2 | 6884, 3084 |
2 | 3442, 1542 |
1721, 771 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6884
List of positive integer factors of 6884 that divides 6884 without a remainder.
1,2,4,1721,3442,6884
Factors of 3084
List of positive integer factors of 3084 that divides 3084 without a remainder.
1,2,3,4,6,12,257,514,771,1028,1542,3084
Greatest Common Factor
We found the factors 6884,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 6884,3084 is 4.
Lets's calculate LCM of 346,580
2 | 346, 580 |
173, 290 |
∴ So the LCM of the given numbers is 2 x 173 x 290 = 100340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/100340
Therefore, the GCF of Fractions 6884/346,3084/580 is 4/100340
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 346,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(346,580) x common factors =2 x 1 = 2
LCM(346,580) = ( 346 × 580 ) / 2
LCM(346,580) = 200680 / 2
LCM(346,580) = 100340
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 6884/346, 3084/580?
Answer: GCF of Numerators as per given numbers 6884/346, 3084/580 is
GCF of Numerators i.e. for 6884,3084 is 4
LCM of denominators i.e. for 346,580 is 100340.
Thus, GCF of Fractions is 4/100340.Finally, GCF of Fractions for 6884/346, 3084/580 is 4/100340.