Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6100/203,3844/583
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 6100,3844
Greatest Common Factor of Numerators i.e. GCF of 6100,3844 is 4 .
LCM of Denominators means LCM of 203,583 as per the given fractions.
LCM of 203,583 is 118349 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6100,3844
2 | 6100, 3844 |
2 | 3050, 1922 |
1525, 961 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6100
List of positive integer factors of 6100 that divides 6100 without a remainder.
1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100
Factors of 3844
List of positive integer factors of 3844 that divides 3844 without a remainder.
1,2,4,31,62,124,961,1922,3844
Greatest Common Factor
We found the factors 6100,3844 . The biggest common factor number is the GCF number.
So the greatest common factor 6100,3844 is 4.
Lets's calculate LCM of 203,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 118349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/118349
Therefore, the GCF of Fractions 6100/203,3844/583 is 4/118349
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 203,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,583) x common factors =1 x 1 = 1
LCM(203,583) = ( 203 × 583 ) / 1
LCM(203,583) = 118349 / 1
LCM(203,583) = 118349
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 6100/203, 3844/583?
Answer: GCF of Numerators as per given numbers 6100/203, 3844/583 is
GCF of Numerators i.e. for 6100,3844 is 4
LCM of denominators i.e. for 203,583 is 118349.
Thus, GCF of Fractions is 4/118349.Finally, GCF of Fractions for 6100/203, 3844/583 is 4/118349.