Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6704/290,3032/8418
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 6704,3032
Greatest Common Factor of Numerators i.e. GCF of 6704,3032 is 8 .
LCM of Denominators means LCM of 290,8418 as per the given fractions.
LCM of 290,8418 is 1220610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6704,3032
2 | 6704, 3032 |
2 | 3352, 1516 |
2 | 1676, 758 |
838, 379 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 6704
List of positive integer factors of 6704 that divides 6704 without a remainder.
1,2,4,8,16,419,838,1676,3352,6704
Factors of 3032
List of positive integer factors of 3032 that divides 3032 without a remainder.
1,2,4,8,379,758,1516,3032
Greatest Common Factor
We found the factors 6704,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 6704,3032 is 8.
Lets's calculate LCM of 290,8418
2 | 290, 8418 |
145, 4209 |
∴ So the LCM of the given numbers is 2 x 145 x 4209 = 1220610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1220610
Therefore, the GCF of Fractions 6704/290,3032/8418 is 8/1220610
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 290,8418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,8418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,8418) x common factors =2 x 1 = 2
LCM(290,8418) = ( 290 × 8418 ) / 2
LCM(290,8418) = 2441220 / 2
LCM(290,8418) = 1220610
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 6704/290, 3032/8418?
Answer: GCF of Numerators as per given numbers 6704/290, 3032/8418 is
GCF of Numerators i.e. for 6704,3032 is 8
LCM of denominators i.e. for 290,8418 is 1220610.
Thus, GCF of Fractions is 8/1220610.Finally, GCF of Fractions for 6704/290, 3032/8418 is 8/1220610.