Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3039/298,6102/1845
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 3039,6102
Greatest Common Factor of Numerators i.e. GCF of 3039,6102 is 3 .
LCM of Denominators means LCM of 298,1845 as per the given fractions.
LCM of 298,1845 is 549810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3039,6102
3 | 3039, 6102 |
1013, 2034 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3039
List of positive integer factors of 3039 that divides 3039 without a remainder.
1,3,1013,3039
Factors of 6102
List of positive integer factors of 6102 that divides 6102 without a remainder.
1,2,3,6,9,18,27,54,113,226,339,678,1017,2034,3051,6102
Greatest Common Factor
We found the factors 3039,6102 . The biggest common factor number is the GCF number.
So the greatest common factor 3039,6102 is 3.
Lets's calculate LCM of 298,1845
Given numbers has no common factors except 1. So, there LCM is their product i.e 549810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/549810
Therefore, the GCF of Fractions 3039/298,6102/1845 is 3/549810
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 298,1845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,1845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,1845) x common factors =1 x 1 = 1
LCM(298,1845) = ( 298 × 1845 ) / 1
LCM(298,1845) = 549810 / 1
LCM(298,1845) = 549810
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 3039/298, 6102/1845?
Answer: GCF of Numerators as per given numbers 3039/298, 6102/1845 is
GCF of Numerators i.e. for 3039,6102 is 3
LCM of denominators i.e. for 298,1845 is 549810.
Thus, GCF of Fractions is 3/549810.Finally, GCF of Fractions for 3039/298, 6102/1845 is 3/549810.