Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3317/921,4209/8990
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 3317,4209
Greatest Common Factor of Numerators i.e. GCF of 3317,4209 is 1 .
LCM of Denominators means LCM of 921,8990 as per the given fractions.
LCM of 921,8990 is 8279790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3317,4209
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3317
List of positive integer factors of 3317 that divides 3317 without a remainder.
1,31,107,3317
Factors of 4209
List of positive integer factors of 4209 that divides 4209 without a remainder.
1,3,23,61,69,183,1403,4209
Greatest Common Factor
We found the factors 3317,4209 . The biggest common factor number is the GCF number.
So the greatest common factor 3317,4209 is 1.
Lets's calculate LCM of 921,8990
Given numbers has no common factors except 1. So, there LCM is their product i.e 8279790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8279790
Therefore, the GCF of Fractions 3317/921,4209/8990 is 1/8279790
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 921,8990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,8990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,8990) x common factors =1 x 1 = 1
LCM(921,8990) = ( 921 × 8990 ) / 1
LCM(921,8990) = 8279790 / 1
LCM(921,8990) = 8279790
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 3317/921, 4209/8990?
Answer: GCF of Numerators as per given numbers 3317/921, 4209/8990 is
GCF of Numerators i.e. for 3317,4209 is 1
LCM of denominators i.e. for 921,8990 is 8279790.
Thus, GCF of Fractions is 1/8279790.Finally, GCF of Fractions for 3317/921, 4209/8990 is 1/8279790.