Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5811/219,3967/596
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 5811,3967
Greatest Common Factor of Numerators i.e. GCF of 5811,3967 is 1 .
LCM of Denominators means LCM of 219,596 as per the given fractions.
LCM of 219,596 is 130524 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5811,3967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5811
List of positive integer factors of 5811 that divides 5811 without a remainder.
1,3,13,39,149,447,1937,5811
Factors of 3967
List of positive integer factors of 3967 that divides 3967 without a remainder.
1,3967
Greatest Common Factor
We found the factors 5811,3967 . The biggest common factor number is the GCF number.
So the greatest common factor 5811,3967 is 1.
Lets's calculate LCM of 219,596
Given numbers has no common factors except 1. So, there LCM is their product i.e 130524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130524
Therefore, the GCF of Fractions 5811/219,3967/596 is 1/130524
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 219,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,596) x common factors =1 x 1 = 1
LCM(219,596) = ( 219 × 596 ) / 1
LCM(219,596) = 130524 / 1
LCM(219,596) = 130524
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 5811/219, 3967/596?
Answer: GCF of Numerators as per given numbers 5811/219, 3967/596 is
GCF of Numerators i.e. for 5811,3967 is 1
LCM of denominators i.e. for 219,596 is 130524.
Thus, GCF of Fractions is 1/130524.Finally, GCF of Fractions for 5811/219, 3967/596 is 1/130524.