Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 811/531,2232/2568
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 811,2232
Greatest Common Factor of Numerators i.e. GCF of 811,2232 is 1 .
LCM of Denominators means LCM of 531,2568 as per the given fractions.
LCM of 531,2568 is 454536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 811,2232
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 2232
List of positive integer factors of 2232 that divides 2232 without a remainder.
1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232
Greatest Common Factor
We found the factors 811,2232 . The biggest common factor number is the GCF number.
So the greatest common factor 811,2232 is 1.
Lets's calculate LCM of 531,2568
3 | 531, 2568 |
177, 856 |
∴ So the LCM of the given numbers is 3 x 177 x 856 = 454536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454536
Therefore, the GCF of Fractions 811/531,2232/2568 is 1/454536
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 531,2568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(531,2568) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(531,2568) x common factors =3 x 1 = 3
LCM(531,2568) = ( 531 × 2568 ) / 3
LCM(531,2568) = 1363608 / 3
LCM(531,2568) = 454536
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 811/531, 2232/2568?
Answer: GCF of Numerators as per given numbers 811/531, 2232/2568 is
GCF of Numerators i.e. for 811,2232 is 1
LCM of denominators i.e. for 531,2568 is 454536.
Thus, GCF of Fractions is 1/454536.Finally, GCF of Fractions for 811/531, 2232/2568 is 1/454536.