Use our free GCF of Fractions Calculator tool to compute the GCF of 15/12, 711/79, 249/419 i.e 3/397212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 15/12, 711/79, 249/419.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/12,711/79,249/419
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 15/12,711/79,249/419, numerators are 15,711,249
Denominators are 12,79,419
The GCF of 15,711,249 is 3 .
LCM of 12,79,419 is 397212.
The greatest common factor of 15/12,711/79,249/419 = [GCF of 15,711,249]/[LCM of 12,79,419]= 3/397212
Therefore, the GCF of 15/12,711/79,249/419 is 3/397212.
To find the highest common factor of 15,711,249, we have to find the factors of both numbers and list the highest common factor.
The factors of 15 are 1, 3, 5, 15
The factors of 711 are 1, 3, 9, 79, 237, 711
The factors of 249 are 1, 3, 83, 249
The HCF of 15,711,249 is 3.
Lets's calculate GCF of 15,711,249
3 | 15, 711, 249 |
5, 237, 83 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 15
:1,3,5,15
Now, list down the factors of 711
:1,3,9,79,237,711
Now, list down the factors of 249
:1,3,83,249
Greatest Common Factor
We found the factors 15,711,249 . The biggest common factor number is the GCF number.
So the greatest common factor 15,711,249 is 3.
Lets's calculate LCM of 12,79,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 397212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/397212
Therefore, the GCF of Fractions 15/12,711/79,249/419 is 3/397212
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 12,79,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,79,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,79,419) x common factors =1 x 1 = 1
LCM(12,79,419) = ( 12 × 79 × 419 ) / 1
LCM(12,79,419) = 397212 / 1
LCM(12,79,419) = 397212
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 15,711,249?
The HCF of 15,711,249 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 15/12, 711/79, 249/419?
Answer: GCF of Numerators as per given numbers 15/12, 711/79, 249/419 is
GCF of Numerators i.e. for 15,711,249 is 3
LCM of denominators i.e. for 12,79,419 is 397212.
Thus, GCF of Fractions is 3/397212.Finally, GCF of Fractions for 15/12, 711/79, 249/419 is 3/397212.