Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5978/611,2130/3916
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 5978,2130
Greatest Common Factor of Numerators i.e. GCF of 5978,2130 is 2 .
LCM of Denominators means LCM of 611,3916 as per the given fractions.
LCM of 611,3916 is 2392676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5978,2130
2 | 5978, 2130 |
2989, 1065 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5978
List of positive integer factors of 5978 that divides 5978 without a remainder.
1,2,7,14,49,61,98,122,427,854,2989,5978
Factors of 2130
List of positive integer factors of 2130 that divides 2130 without a remainder.
1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130
Greatest Common Factor
We found the factors 5978,2130 . The biggest common factor number is the GCF number.
So the greatest common factor 5978,2130 is 2.
Lets's calculate LCM of 611,3916
Given numbers has no common factors except 1. So, there LCM is their product i.e 2392676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2392676
Therefore, the GCF of Fractions 5978/611,2130/3916 is 2/2392676
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 611,3916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,3916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,3916) x common factors =1 x 1 = 1
LCM(611,3916) = ( 611 × 3916 ) / 1
LCM(611,3916) = 2392676 / 1
LCM(611,3916) = 2392676
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 5978/611, 2130/3916?
Answer: GCF of Numerators as per given numbers 5978/611, 2130/3916 is
GCF of Numerators i.e. for 5978,2130 is 2
LCM of denominators i.e. for 611,3916 is 2392676.
Thus, GCF of Fractions is 2/2392676.Finally, GCF of Fractions for 5978/611, 2130/3916 is 2/2392676.