Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 516/251,3885/561
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 516,3885
Greatest Common Factor of Numerators i.e. GCF of 516,3885 is 3 .
LCM of Denominators means LCM of 251,561 as per the given fractions.
LCM of 251,561 is 140811 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 516,3885
3 | 516, 3885 |
172, 1295 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 3885
List of positive integer factors of 3885 that divides 3885 without a remainder.
1,3,5,7,15,21,35,37,105,111,185,259,555,777,1295,3885
Greatest Common Factor
We found the factors 516,3885 . The biggest common factor number is the GCF number.
So the greatest common factor 516,3885 is 3.
Lets's calculate LCM of 251,561
Given numbers has no common factors except 1. So, there LCM is their product i.e 140811
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/140811
Therefore, the GCF of Fractions 516/251,3885/561 is 3/140811
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 251,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,561) x common factors =1 x 1 = 1
LCM(251,561) = ( 251 × 561 ) / 1
LCM(251,561) = 140811 / 1
LCM(251,561) = 140811
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 516/251, 3885/561?
Answer: GCF of Numerators as per given numbers 516/251, 3885/561 is
GCF of Numerators i.e. for 516,3885 is 3
LCM of denominators i.e. for 251,561 is 140811.
Thus, GCF of Fractions is 3/140811.Finally, GCF of Fractions for 516/251, 3885/561 is 3/140811.