Use our free GCF of Fractions Calculator tool to compute the GCF of 44/24, 171/99, 417/972 i.e 1/21384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/24, 171/99, 417/972.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/24,171/99,417/972
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 44/24,171/99,417/972, numerators are 44,171,417
Denominators are 24,99,972
The GCF of 44,171,417 is 1 .
LCM of 24,99,972 is 21384.
The greatest common factor of 44/24,171/99,417/972 = [GCF of 44,171,417]/[LCM of 24,99,972]= 1/21384
Therefore, the GCF of 44/24,171/99,417/972 is 1/21384.
To find the highest common factor of 44,171,417, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 171 are 1, 3, 9, 19, 57, 171
The factors of 417 are 1, 3, 139, 417
The HCF of 44,171,417 is 1.
Lets's calculate GCF of 44,171,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 171
:1,3,9,19,57,171
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 44,171,417 . The biggest common factor number is the GCF number.
So the greatest common factor 44,171,417 is 1.
Lets's calculate LCM of 24,99,972
2 | 24, 99, 972 |
2 | 12, 99, 486 |
3 | 6, 99, 243 |
3 | 2, 33, 81 |
2, 11, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 11 x 27 = 21384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21384
Therefore, the GCF of Fractions 44/24,171/99,417/972 is 1/21384
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 24,99,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,99,972) = 3
common factors(in case of two or more numbers have common factors) = 36
GCF(24,99,972) x common factors =3 x 36 = 108
LCM(24,99,972) = ( 24 × 99 × 972 ) / 108
LCM(24,99,972) = 2309472 / 108
LCM(24,99,972) = 21384
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 44,171,417?
The HCF of 44,171,417 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 44/24, 171/99, 417/972?
Answer: GCF of Numerators as per given numbers 44/24, 171/99, 417/972 is
GCF of Numerators i.e. for 44,171,417 is 1
LCM of denominators i.e. for 24,99,972 is 21384.
Thus, GCF of Fractions is 1/21384.Finally, GCF of Fractions for 44/24, 171/99, 417/972 is 1/21384.