Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 396/493,504/994
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 396,504
Greatest Common Factor of Numerators i.e. GCF of 396,504 is 36 .
LCM of Denominators means LCM of 493,994 as per the given fractions.
LCM of 493,994 is 490042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 396,504
2 | 396, 504 |
2 | 198, 252 |
3 | 99, 126 |
3 | 33, 42 |
11, 14 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 396,504 . The biggest common factor number is the GCF number.
So the greatest common factor 396,504 is 36.
Lets's calculate LCM of 493,994
Given numbers has no common factors except 1. So, there LCM is their product i.e 490042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/490042
Therefore, the GCF of Fractions 396/493,504/994 is 36/490042
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 493,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,994) x common factors =1 x 1 = 1
LCM(493,994) = ( 493 × 994 ) / 1
LCM(493,994) = 490042 / 1
LCM(493,994) = 490042
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 396/493, 504/994?
Answer: GCF of Numerators as per given numbers 396/493, 504/994 is
GCF of Numerators i.e. for 396,504 is 36
LCM of denominators i.e. for 493,994 is 490042.
Thus, GCF of Fractions is 36/490042.Finally, GCF of Fractions for 396/493, 504/994 is 36/490042.