Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9294/664,4242/3297
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 9294,4242
Greatest Common Factor of Numerators i.e. GCF of 9294,4242 is 6 .
LCM of Denominators means LCM of 664,3297 as per the given fractions.
LCM of 664,3297 is 2189208 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9294,4242
2 | 9294, 4242 |
3 | 4647, 2121 |
1549, 707 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 9294
List of positive integer factors of 9294 that divides 9294 without a remainder.
1,2,3,6,1549,3098,4647,9294
Factors of 4242
List of positive integer factors of 4242 that divides 4242 without a remainder.
1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242
Greatest Common Factor
We found the factors 9294,4242 . The biggest common factor number is the GCF number.
So the greatest common factor 9294,4242 is 6.
Lets's calculate LCM of 664,3297
Given numbers has no common factors except 1. So, there LCM is their product i.e 2189208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2189208
Therefore, the GCF of Fractions 9294/664,4242/3297 is 6/2189208
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 664,3297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,3297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(664,3297) x common factors =1 x 1 = 1
LCM(664,3297) = ( 664 × 3297 ) / 1
LCM(664,3297) = 2189208 / 1
LCM(664,3297) = 2189208
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 9294/664, 4242/3297?
Answer: GCF of Numerators as per given numbers 9294/664, 4242/3297 is
GCF of Numerators i.e. for 9294,4242 is 6
LCM of denominators i.e. for 664,3297 is 2189208.
Thus, GCF of Fractions is 6/2189208.Finally, GCF of Fractions for 9294/664, 4242/3297 is 6/2189208.