Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/15,338/59,219/14
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 6,338,219
Greatest Common Factor of Numerators i.e. GCF of 6,338,219 is 1 .
LCM of Denominators means LCM of 15,59,14 as per the given fractions.
LCM of 15,59,14 is 12390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,338,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 6,338,219 . The biggest common factor number is the GCF number.
So the greatest common factor 6,338,219 is 1.
Lets's calculate LCM of 15,59,14
Given numbers has no common factors except 1. So, there LCM is their product i.e 12390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12390
Therefore, the GCF of Fractions 6/15,338/59,219/14 is 1/12390
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 15,59,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,59,14) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,59,14) x common factors =1 x 1 = 1
LCM(15,59,14) = ( 15 × 59 × 14 ) / 1
LCM(15,59,14) = 12390 / 1
LCM(15,59,14) = 12390
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 6/15, 338/59, 219/14?
Answer: GCF of Numerators as per given numbers 6/15, 338/59, 219/14 is
GCF of Numerators i.e. for 6,338,219 is 1
LCM of denominators i.e. for 15,59,14 is 12390.
Thus, GCF of Fractions is 1/12390.Finally, GCF of Fractions for 6/15, 338/59, 219/14 is 1/12390.