Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 339/221,5716/3245
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 339,5716
Greatest Common Factor of Numerators i.e. GCF of 339,5716 is 1 .
LCM of Denominators means LCM of 221,3245 as per the given fractions.
LCM of 221,3245 is 717145 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 339,5716
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 5716
List of positive integer factors of 5716 that divides 5716 without a remainder.
1,2,4,1429,2858,5716
Greatest Common Factor
We found the factors 339,5716 . The biggest common factor number is the GCF number.
So the greatest common factor 339,5716 is 1.
Lets's calculate LCM of 221,3245
Given numbers has no common factors except 1. So, there LCM is their product i.e 717145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717145
Therefore, the GCF of Fractions 339/221,5716/3245 is 1/717145
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 221,3245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,3245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,3245) x common factors =1 x 1 = 1
LCM(221,3245) = ( 221 × 3245 ) / 1
LCM(221,3245) = 717145 / 1
LCM(221,3245) = 717145
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 339/221, 5716/3245?
Answer: GCF of Numerators as per given numbers 339/221, 5716/3245 is
GCF of Numerators i.e. for 339,5716 is 1
LCM of denominators i.e. for 221,3245 is 717145.
Thus, GCF of Fractions is 1/717145.Finally, GCF of Fractions for 339/221, 5716/3245 is 1/717145.