Use our free GCF of Fractions Calculator tool to compute the GCF of 24/68, 415/30, 288/905 i.e 1/184620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/68, 415/30, 288/905.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/68,415/30,288/905
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 24/68,415/30,288/905, numerators are 24,415,288
Denominators are 68,30,905
The GCF of 24,415,288 is 1 .
LCM of 68,30,905 is 184620.
The greatest common factor of 24/68,415/30,288/905 = [GCF of 24,415,288]/[LCM of 68,30,905]= 1/184620
Therefore, the GCF of 24/68,415/30,288/905 is 1/184620.
To find the highest common factor of 24,415,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 415 are 1, 5, 83, 415
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 24,415,288 is 1.
Lets's calculate GCF of 24,415,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 415
:1,5,83,415
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 24,415,288 . The biggest common factor number is the GCF number.
So the greatest common factor 24,415,288 is 1.
Lets's calculate LCM of 68,30,905
2 | 68, 30, 905 |
5 | 34, 15, 905 |
34, 3, 181 |
∴ So the LCM of the given numbers is 2 x 5 x 34 x 3 x 181 = 184620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184620
Therefore, the GCF of Fractions 24/68,415/30,288/905 is 1/184620
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 68,30,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,30,905) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(68,30,905) x common factors =1 x 10 = 10
LCM(68,30,905) = ( 68 × 30 × 905 ) / 10
LCM(68,30,905) = 1846200 / 10
LCM(68,30,905) = 184620
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 24,415,288?
The HCF of 24,415,288 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 24/68, 415/30, 288/905?
Answer: GCF of Numerators as per given numbers 24/68, 415/30, 288/905 is
GCF of Numerators i.e. for 24,415,288 is 1
LCM of denominators i.e. for 68,30,905 is 184620.
Thus, GCF of Fractions is 1/184620.Finally, GCF of Fractions for 24/68, 415/30, 288/905 is 1/184620.