Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 256/39,231/4728
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 256,231
Greatest Common Factor of Numerators i.e. GCF of 256,231 is 1 .
LCM of Denominators means LCM of 39,4728 as per the given fractions.
LCM of 39,4728 is 61464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 256,231
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 256,231 . The biggest common factor number is the GCF number.
So the greatest common factor 256,231 is 1.
Lets's calculate LCM of 39,4728
3 | 39, 4728 |
13, 1576 |
∴ So the LCM of the given numbers is 3 x 13 x 1576 = 61464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61464
Therefore, the GCF of Fractions 256/39,231/4728 is 1/61464
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 39,4728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,4728) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,4728) x common factors =3 x 1 = 3
LCM(39,4728) = ( 39 × 4728 ) / 3
LCM(39,4728) = 184392 / 3
LCM(39,4728) = 61464
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 256/39, 231/4728?
Answer: GCF of Numerators as per given numbers 256/39, 231/4728 is
GCF of Numerators i.e. for 256,231 is 1
LCM of denominators i.e. for 39,4728 is 61464.
Thus, GCF of Fractions is 1/61464.Finally, GCF of Fractions for 256/39, 231/4728 is 1/61464.