Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4936/927,5925/462
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 4936,5925
Greatest Common Factor of Numerators i.e. GCF of 4936,5925 is 1 .
LCM of Denominators means LCM of 927,462 as per the given fractions.
LCM of 927,462 is 142758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4936,5925
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4936
List of positive integer factors of 4936 that divides 4936 without a remainder.
1,2,4,8,617,1234,2468,4936
Factors of 5925
List of positive integer factors of 5925 that divides 5925 without a remainder.
1,3,5,15,25,75,79,237,395,1185,1975,5925
Greatest Common Factor
We found the factors 4936,5925 . The biggest common factor number is the GCF number.
So the greatest common factor 4936,5925 is 1.
Lets's calculate LCM of 927,462
3 | 927, 462 |
309, 154 |
∴ So the LCM of the given numbers is 3 x 309 x 154 = 142758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142758
Therefore, the GCF of Fractions 4936/927,5925/462 is 1/142758
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 927,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,462) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,462) x common factors =3 x 1 = 3
LCM(927,462) = ( 927 × 462 ) / 3
LCM(927,462) = 428274 / 3
LCM(927,462) = 142758
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 4936/927, 5925/462?
Answer: GCF of Numerators as per given numbers 4936/927, 5925/462 is
GCF of Numerators i.e. for 4936,5925 is 1
LCM of denominators i.e. for 927,462 is 142758.
Thus, GCF of Fractions is 1/142758.Finally, GCF of Fractions for 4936/927, 5925/462 is 1/142758.