Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4588/588,2990/8881
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 4588,2990
Greatest Common Factor of Numerators i.e. GCF of 4588,2990 is 2 .
LCM of Denominators means LCM of 588,8881 as per the given fractions.
LCM of 588,8881 is 5222028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4588,2990
2 | 4588, 2990 |
2294, 1495 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4588
List of positive integer factors of 4588 that divides 4588 without a remainder.
1,2,4,31,37,62,74,124,148,1147,2294,4588
Factors of 2990
List of positive integer factors of 2990 that divides 2990 without a remainder.
1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990
Greatest Common Factor
We found the factors 4588,2990 . The biggest common factor number is the GCF number.
So the greatest common factor 4588,2990 is 2.
Lets's calculate LCM of 588,8881
Given numbers has no common factors except 1. So, there LCM is their product i.e 5222028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5222028
Therefore, the GCF of Fractions 4588/588,2990/8881 is 2/5222028
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 588,8881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,8881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(588,8881) x common factors =1 x 1 = 1
LCM(588,8881) = ( 588 × 8881 ) / 1
LCM(588,8881) = 5222028 / 1
LCM(588,8881) = 5222028
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 4588/588, 2990/8881?
Answer: GCF of Numerators as per given numbers 4588/588, 2990/8881 is
GCF of Numerators i.e. for 4588,2990 is 2
LCM of denominators i.e. for 588,8881 is 5222028.
Thus, GCF of Fractions is 2/5222028.Finally, GCF of Fractions for 4588/588, 2990/8881 is 2/5222028.