Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5821/426,8111/1599
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 5821,8111
Greatest Common Factor of Numerators i.e. GCF of 5821,8111 is 1 .
LCM of Denominators means LCM of 426,1599 as per the given fractions.
LCM of 426,1599 is 227058 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5821,8111
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5821
List of positive integer factors of 5821 that divides 5821 without a remainder.
1,5821
Factors of 8111
List of positive integer factors of 8111 that divides 8111 without a remainder.
1,8111
Greatest Common Factor
We found the factors 5821,8111 . The biggest common factor number is the GCF number.
So the greatest common factor 5821,8111 is 1.
Lets's calculate LCM of 426,1599
3 | 426, 1599 |
142, 533 |
∴ So the LCM of the given numbers is 3 x 142 x 533 = 227058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227058
Therefore, the GCF of Fractions 5821/426,8111/1599 is 1/227058
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 426,1599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,1599) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(426,1599) x common factors =3 x 1 = 3
LCM(426,1599) = ( 426 × 1599 ) / 3
LCM(426,1599) = 681174 / 3
LCM(426,1599) = 227058
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 5821/426, 8111/1599?
Answer: GCF of Numerators as per given numbers 5821/426, 8111/1599 is
GCF of Numerators i.e. for 5821,8111 is 1
LCM of denominators i.e. for 426,1599 is 227058.
Thus, GCF of Fractions is 1/227058.Finally, GCF of Fractions for 5821/426, 8111/1599 is 1/227058.