Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6010/213,2485/418
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 6010,2485
Greatest Common Factor of Numerators i.e. GCF of 6010,2485 is 5 .
LCM of Denominators means LCM of 213,418 as per the given fractions.
LCM of 213,418 is 89034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6010,2485
5 | 6010, 2485 |
1202, 497 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6010
List of positive integer factors of 6010 that divides 6010 without a remainder.
1,2,5,10,601,1202,3005,6010
Factors of 2485
List of positive integer factors of 2485 that divides 2485 without a remainder.
1,5,7,35,71,355,497,2485
Greatest Common Factor
We found the factors 6010,2485 . The biggest common factor number is the GCF number.
So the greatest common factor 6010,2485 is 5.
Lets's calculate LCM of 213,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 89034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/89034
Therefore, the GCF of Fractions 6010/213,2485/418 is 5/89034
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 213,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,418) x common factors =1 x 1 = 1
LCM(213,418) = ( 213 × 418 ) / 1
LCM(213,418) = 89034 / 1
LCM(213,418) = 89034
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 6010/213, 2485/418?
Answer: GCF of Numerators as per given numbers 6010/213, 2485/418 is
GCF of Numerators i.e. for 6010,2485 is 5
LCM of denominators i.e. for 213,418 is 89034.
Thus, GCF of Fractions is 5/89034.Finally, GCF of Fractions for 6010/213, 2485/418 is 5/89034.