Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 561/831,1210/252
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 561,1210
Greatest Common Factor of Numerators i.e. GCF of 561,1210 is 11 .
LCM of Denominators means LCM of 831,252 as per the given fractions.
LCM of 831,252 is 69804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 561,1210
11 | 561, 1210 |
51, 110 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 1210
List of positive integer factors of 1210 that divides 1210 without a remainder.
1,2,5,10,11,22,55,110,121,242,605,1210
Greatest Common Factor
We found the factors 561,1210 . The biggest common factor number is the GCF number.
So the greatest common factor 561,1210 is 11.
Lets's calculate LCM of 831,252
3 | 831, 252 |
277, 84 |
∴ So the LCM of the given numbers is 3 x 277 x 84 = 69804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/69804
Therefore, the GCF of Fractions 561/831,1210/252 is 11/69804
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 831,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,252) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(831,252) x common factors =3 x 1 = 3
LCM(831,252) = ( 831 × 252 ) / 3
LCM(831,252) = 209412 / 3
LCM(831,252) = 69804
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 561/831, 1210/252?
Answer: GCF of Numerators as per given numbers 561/831, 1210/252 is
GCF of Numerators i.e. for 561,1210 is 11
LCM of denominators i.e. for 831,252 is 69804.
Thus, GCF of Fractions is 11/69804.Finally, GCF of Fractions for 561/831, 1210/252 is 11/69804.