Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3323/263,3361/329
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 3323,3361
Greatest Common Factor of Numerators i.e. GCF of 3323,3361 is 1 .
LCM of Denominators means LCM of 263,329 as per the given fractions.
LCM of 263,329 is 86527 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3323,3361
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3323
List of positive integer factors of 3323 that divides 3323 without a remainder.
1,3323
Factors of 3361
List of positive integer factors of 3361 that divides 3361 without a remainder.
1,3361
Greatest Common Factor
We found the factors 3323,3361 . The biggest common factor number is the GCF number.
So the greatest common factor 3323,3361 is 1.
Lets's calculate LCM of 263,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 86527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86527
Therefore, the GCF of Fractions 3323/263,3361/329 is 1/86527
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 263,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,329) x common factors =1 x 1 = 1
LCM(263,329) = ( 263 × 329 ) / 1
LCM(263,329) = 86527 / 1
LCM(263,329) = 86527
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 3323/263, 3361/329?
Answer: GCF of Numerators as per given numbers 3323/263, 3361/329 is
GCF of Numerators i.e. for 3323,3361 is 1
LCM of denominators i.e. for 263,329 is 86527.
Thus, GCF of Fractions is 1/86527.Finally, GCF of Fractions for 3323/263, 3361/329 is 1/86527.