Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5728/603,9481/537
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 5728,9481
Greatest Common Factor of Numerators i.e. GCF of 5728,9481 is 1 .
LCM of Denominators means LCM of 603,537 as per the given fractions.
LCM of 603,537 is 107937 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5728,9481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5728
List of positive integer factors of 5728 that divides 5728 without a remainder.
1,2,4,8,16,32,179,358,716,1432,2864,5728
Factors of 9481
List of positive integer factors of 9481 that divides 9481 without a remainder.
1,19,499,9481
Greatest Common Factor
We found the factors 5728,9481 . The biggest common factor number is the GCF number.
So the greatest common factor 5728,9481 is 1.
Lets's calculate LCM of 603,537
3 | 603, 537 |
201, 179 |
∴ So the LCM of the given numbers is 3 x 201 x 179 = 107937
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107937
Therefore, the GCF of Fractions 5728/603,9481/537 is 1/107937
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 603,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,537) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(603,537) x common factors =3 x 1 = 3
LCM(603,537) = ( 603 × 537 ) / 3
LCM(603,537) = 323811 / 3
LCM(603,537) = 107937
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 5728/603, 9481/537?
Answer: GCF of Numerators as per given numbers 5728/603, 9481/537 is
GCF of Numerators i.e. for 5728,9481 is 1
LCM of denominators i.e. for 603,537 is 107937.
Thus, GCF of Fractions is 1/107937.Finally, GCF of Fractions for 5728/603, 9481/537 is 1/107937.