Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6040/253,6168/585
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 6040,6168
Greatest Common Factor of Numerators i.e. GCF of 6040,6168 is 8 .
LCM of Denominators means LCM of 253,585 as per the given fractions.
LCM of 253,585 is 148005 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6040,6168
2 | 6040, 6168 |
2 | 3020, 3084 |
2 | 1510, 1542 |
755, 771 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 6040
List of positive integer factors of 6040 that divides 6040 without a remainder.
1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040
Factors of 6168
List of positive integer factors of 6168 that divides 6168 without a remainder.
1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168
Greatest Common Factor
We found the factors 6040,6168 . The biggest common factor number is the GCF number.
So the greatest common factor 6040,6168 is 8.
Lets's calculate LCM of 253,585
Given numbers has no common factors except 1. So, there LCM is their product i.e 148005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/148005
Therefore, the GCF of Fractions 6040/253,6168/585 is 8/148005
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 253,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,585) x common factors =1 x 1 = 1
LCM(253,585) = ( 253 × 585 ) / 1
LCM(253,585) = 148005 / 1
LCM(253,585) = 148005
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 6040/253, 6168/585?
Answer: GCF of Numerators as per given numbers 6040/253, 6168/585 is
GCF of Numerators i.e. for 6040,6168 is 8
LCM of denominators i.e. for 253,585 is 148005.
Thus, GCF of Fractions is 8/148005.Finally, GCF of Fractions for 6040/253, 6168/585 is 8/148005.