Use our free GCF of Fractions Calculator tool to compute the GCF of 92/273, 21/564, 104/571 i.e 1/29306004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/273, 21/564, 104/571.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/273,21/564,104/571
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 92/273,21/564,104/571, numerators are 92,21,104
Denominators are 273,564,571
The GCF of 92,21,104 is 1 .
LCM of 273,564,571 is 29306004.
The greatest common factor of 92/273,21/564,104/571 = [GCF of 92,21,104]/[LCM of 273,564,571]= 1/29306004
Therefore, the GCF of 92/273,21/564,104/571 is 1/29306004.
To find the highest common factor of 92,21,104, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 21 are 1, 3, 7, 21
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The HCF of 92,21,104 is 1.
Lets's calculate GCF of 92,21,104
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Greatest Common Factor
We found the factors 92,21,104 . The biggest common factor number is the GCF number.
So the greatest common factor 92,21,104 is 1.
Lets's calculate LCM of 273,564,571
3 | 273, 564, 571 |
91, 188, 571 |
∴ So the LCM of the given numbers is 3 x 91 x 188 x 571 = 29306004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29306004
Therefore, the GCF of Fractions 92/273,21/564,104/571 is 1/29306004
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 273,564,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,564,571) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(273,564,571) x common factors =1 x 3 = 3
LCM(273,564,571) = ( 273 × 564 × 571 ) / 3
LCM(273,564,571) = 87918012 / 3
LCM(273,564,571) = 29306004
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,21,104?
The HCF of 92,21,104 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 92/273, 21/564, 104/571?
Answer: GCF of Numerators as per given numbers 92/273, 21/564, 104/571 is
GCF of Numerators i.e. for 92,21,104 is 1
LCM of denominators i.e. for 273,564,571 is 29306004.
Thus, GCF of Fractions is 1/29306004.Finally, GCF of Fractions for 92/273, 21/564, 104/571 is 1/29306004.