Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 561/38,4287/109
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 561,4287
Greatest Common Factor of Numerators i.e. GCF of 561,4287 is 3 .
LCM of Denominators means LCM of 38,109 as per the given fractions.
LCM of 38,109 is 4142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 561,4287
3 | 561, 4287 |
187, 1429 |
∴ So the GCF of the given numbers is 3 = 3
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 4287
List of positive integer factors of 4287 that divides 4287 without a remainder.
1,3,1429,4287
Greatest Common Factor
We found the factors 561,4287 . The biggest common factor number is the GCF number.
So the greatest common factor 561,4287 is 3.
Lets's calculate LCM of 38,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 4142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4142
Therefore, the GCF of Fractions 561/38,4287/109 is 3/4142
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 38,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,109) x common factors =1 x 1 = 1
LCM(38,109) = ( 38 × 109 ) / 1
LCM(38,109) = 4142 / 1
LCM(38,109) = 4142
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 561/38, 4287/109?
Answer: GCF of Numerators as per given numbers 561/38, 4287/109 is
GCF of Numerators i.e. for 561,4287 is 3
LCM of denominators i.e. for 38,109 is 4142.
Thus, GCF of Fractions is 3/4142.Finally, GCF of Fractions for 561/38, 4287/109 is 3/4142.