Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3048/441,1996/919
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 3048,1996
Greatest Common Factor of Numerators i.e. GCF of 3048,1996 is 4 .
LCM of Denominators means LCM of 441,919 as per the given fractions.
LCM of 441,919 is 405279 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3048,1996
2 | 3048, 1996 |
2 | 1524, 998 |
762, 499 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3048
List of positive integer factors of 3048 that divides 3048 without a remainder.
1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048
Factors of 1996
List of positive integer factors of 1996 that divides 1996 without a remainder.
1,2,4,499,998,1996
Greatest Common Factor
We found the factors 3048,1996 . The biggest common factor number is the GCF number.
So the greatest common factor 3048,1996 is 4.
Lets's calculate LCM of 441,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 405279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/405279
Therefore, the GCF of Fractions 3048/441,1996/919 is 4/405279
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 441,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,919) x common factors =1 x 1 = 1
LCM(441,919) = ( 441 × 919 ) / 1
LCM(441,919) = 405279 / 1
LCM(441,919) = 405279
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 3048/441, 1996/919?
Answer: GCF of Numerators as per given numbers 3048/441, 1996/919 is
GCF of Numerators i.e. for 3048,1996 is 4
LCM of denominators i.e. for 441,919 is 405279.
Thus, GCF of Fractions is 4/405279.Finally, GCF of Fractions for 3048/441, 1996/919 is 4/405279.