Use our free GCF of Fractions Calculator tool to compute the GCF of 11/13, 447/24, 444/716 i.e 1/55848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/13, 447/24, 444/716.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/13,447/24,444/716
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 11/13,447/24,444/716, numerators are 11,447,444
Denominators are 13,24,716
The GCF of 11,447,444 is 1 .
LCM of 13,24,716 is 55848.
The greatest common factor of 11/13,447/24,444/716 = [GCF of 11,447,444]/[LCM of 13,24,716]= 1/55848
Therefore, the GCF of 11/13,447/24,444/716 is 1/55848.
To find the highest common factor of 11,447,444, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 447 are 1, 3, 149, 447
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
The HCF of 11,447,444 is 1.
Lets's calculate GCF of 11,447,444
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 11
:1,11
Now, list down the factors of 447
:1,3,149,447
Now, list down the factors of 444
:1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 11,447,444 . The biggest common factor number is the GCF number.
So the greatest common factor 11,447,444 is 1.
Lets's calculate LCM of 13,24,716
2 | 13, 24, 716 |
2 | 13, 12, 358 |
13, 6, 179 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 6 x 179 = 55848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55848
Therefore, the GCF of Fractions 11/13,447/24,444/716 is 1/55848
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 13,24,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,24,716) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(13,24,716) x common factors =1 x 4 = 4
LCM(13,24,716) = ( 13 × 24 × 716 ) / 4
LCM(13,24,716) = 223392 / 4
LCM(13,24,716) = 55848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,447,444?
The HCF of 11,447,444 is 1
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 11/13, 447/24, 444/716?
Answer: GCF of Numerators as per given numbers 11/13, 447/24, 444/716 is
GCF of Numerators i.e. for 11,447,444 is 1
LCM of denominators i.e. for 13,24,716 is 55848.
Thus, GCF of Fractions is 1/55848.Finally, GCF of Fractions for 11/13, 447/24, 444/716 is 1/55848.