Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 299/519,339/352
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 299,339
Greatest Common Factor of Numerators i.e. GCF of 299,339 is 1 .
LCM of Denominators means LCM of 519,352 as per the given fractions.
LCM of 519,352 is 182688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 299,339
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 299,339 . The biggest common factor number is the GCF number.
So the greatest common factor 299,339 is 1.
Lets's calculate LCM of 519,352
Given numbers has no common factors except 1. So, there LCM is their product i.e 182688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182688
Therefore, the GCF of Fractions 299/519,339/352 is 1/182688
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 519,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,352) x common factors =1 x 1 = 1
LCM(519,352) = ( 519 × 352 ) / 1
LCM(519,352) = 182688 / 1
LCM(519,352) = 182688
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 299/519, 339/352?
Answer: GCF of Numerators as per given numbers 299/519, 339/352 is
GCF of Numerators i.e. for 299,339 is 1
LCM of denominators i.e. for 519,352 is 182688.
Thus, GCF of Fractions is 1/182688.Finally, GCF of Fractions for 299/519, 339/352 is 1/182688.