Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/12,481/2706
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 442,481
Greatest Common Factor of Numerators i.e. GCF of 442,481 is 13 .
LCM of Denominators means LCM of 12,2706 as per the given fractions.
LCM of 12,2706 is 5412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 442,481
13 | 442, 481 |
34, 37 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 442,481 . The biggest common factor number is the GCF number.
So the greatest common factor 442,481 is 13.
Lets's calculate LCM of 12,2706
2 | 12, 2706 |
3 | 6, 1353 |
2, 451 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 451 = 5412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5412
Therefore, the GCF of Fractions 442/12,481/2706 is 13/5412
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 12,2706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,2706) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(12,2706) x common factors =6 x 1 = 6
LCM(12,2706) = ( 12 × 2706 ) / 6
LCM(12,2706) = 32472 / 6
LCM(12,2706) = 5412
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 442/12, 481/2706?
Answer: GCF of Numerators as per given numbers 442/12, 481/2706 is
GCF of Numerators i.e. for 442,481 is 13
LCM of denominators i.e. for 12,2706 is 5412.
Thus, GCF of Fractions is 13/5412.Finally, GCF of Fractions for 442/12, 481/2706 is 13/5412.