Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4508/219,1908/5394
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 4508,1908
Greatest Common Factor of Numerators i.e. GCF of 4508,1908 is 4 .
LCM of Denominators means LCM of 219,5394 as per the given fractions.
LCM of 219,5394 is 393762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4508,1908
2 | 4508, 1908 |
2 | 2254, 954 |
1127, 477 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 4508
List of positive integer factors of 4508 that divides 4508 without a remainder.
1,2,4,7,14,23,28,46,49,92,98,161,196,322,644,1127,2254,4508
Factors of 1908
List of positive integer factors of 1908 that divides 1908 without a remainder.
1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Greatest Common Factor
We found the factors 4508,1908 . The biggest common factor number is the GCF number.
So the greatest common factor 4508,1908 is 4.
Lets's calculate LCM of 219,5394
3 | 219, 5394 |
73, 1798 |
∴ So the LCM of the given numbers is 3 x 73 x 1798 = 393762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/393762
Therefore, the GCF of Fractions 4508/219,1908/5394 is 4/393762
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 219,5394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,5394) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(219,5394) x common factors =3 x 1 = 3
LCM(219,5394) = ( 219 × 5394 ) / 3
LCM(219,5394) = 1181286 / 3
LCM(219,5394) = 393762
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 4508/219, 1908/5394?
Answer: GCF of Numerators as per given numbers 4508/219, 1908/5394 is
GCF of Numerators i.e. for 4508,1908 is 4
LCM of denominators i.e. for 219,5394 is 393762.
Thus, GCF of Fractions is 4/393762.Finally, GCF of Fractions for 4508/219, 1908/5394 is 4/393762.