Use our free GCF of Fractions Calculator tool to compute the GCF of 481/519, 208/400 i.e 13/207600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 481/519, 208/400.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 481/519,208/400
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 481/519,208/400, numerators are 481,208
Denominators are 519,400
The GCF of 481,208 is 13 .
LCM of 519,400 is 207600.
The greatest common factor of 481/519,208/400 = [GCF of 481,208]/[LCM of 519,400]= 13/207600
Therefore, the GCF of 481/519,208/400 is 13/207600.
To find the highest common factor of 481,208, we have to find the factors of both numbers and list the highest common factor.
The factors of 481 are 1, 13, 37, 481
The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
The HCF of 481,208 is 13.
Lets's calculate GCF of 481,208
13 | 481, 208 |
37, 16 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 481
:1,13,37,481
Now, list down the factors of 208
:1,2,4,8,13,16,26,52,104,208
Greatest Common Factor
We found the factors 481,208 . The biggest common factor number is the GCF number.
So the greatest common factor 481,208 is 13.
Lets's calculate LCM of 519,400
Given numbers has no common factors except 1. So, there LCM is their product i.e 207600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/207600
Therefore, the GCF of Fractions 481/519,208/400 is 13/207600
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 519,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,400) x common factors =1 x 1 = 1
LCM(519,400) = ( 519 × 400 ) / 1
LCM(519,400) = 207600 / 1
LCM(519,400) = 207600
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 481,208?
The HCF of 481,208 is 13
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 481/519, 208/400?
Answer: GCF of Numerators as per given numbers 481/519, 208/400 is
GCF of Numerators i.e. for 481,208 is 13
LCM of denominators i.e. for 519,400 is 207600.
Thus, GCF of Fractions is 13/207600.Finally, GCF of Fractions for 481/519, 208/400 is 13/207600.