Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 299/89,989/80,319/259
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 299,989,319
Greatest Common Factor of Numerators i.e. GCF of 299,989,319 is 1 .
LCM of Denominators means LCM of 89,80,259 as per the given fractions.
LCM of 89,80,259 is 1844080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 299,989,319
∴ 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 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Greatest Common Factor
We found the factors 299,989,319 . The biggest common factor number is the GCF number.
So the greatest common factor 299,989,319 is 1.
Lets's calculate LCM of 89,80,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 1844080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1844080
Therefore, the GCF of Fractions 299/89,989/80,319/259 is 1/1844080
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 89,80,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,80,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,80,259) x common factors =1 x 1 = 1
LCM(89,80,259) = ( 89 × 80 × 259 ) / 1
LCM(89,80,259) = 1844080 / 1
LCM(89,80,259) = 1844080
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 299/89, 989/80, 319/259?
Answer: GCF of Numerators as per given numbers 299/89, 989/80, 319/259 is
GCF of Numerators i.e. for 299,989,319 is 1
LCM of denominators i.e. for 89,80,259 is 1844080.
Thus, GCF of Fractions is 1/1844080.Finally, GCF of Fractions for 299/89, 989/80, 319/259 is 1/1844080.