Use our free GCF of Fractions Calculator tool to compute the GCF of 82/73, 322/32, 562/292 i.e 2/2336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/73, 322/32, 562/292.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/73,322/32,562/292
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 82/73,322/32,562/292, numerators are 82,322,562
Denominators are 73,32,292
The GCF of 82,322,562 is 2 .
LCM of 73,32,292 is 2336.
The greatest common factor of 82/73,322/32,562/292 = [GCF of 82,322,562]/[LCM of 73,32,292]= 2/2336
Therefore, the GCF of 82/73,322/32,562/292 is 2/2336.
To find the highest common factor of 82,322,562, we have to find the factors of both numbers and list the highest common factor.
The factors of 82 are 1, 2, 41, 82
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322
The factors of 562 are 1, 2, 281, 562
The HCF of 82,322,562 is 2.
Lets's calculate GCF of 82,322,562
2 | 82, 322, 562 |
41, 161, 281 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 322
:1,2,7,14,23,46,161,322
Now, list down the factors of 562
:1,2,281,562
Greatest Common Factor
We found the factors 82,322,562 . The biggest common factor number is the GCF number.
So the greatest common factor 82,322,562 is 2.
Lets's calculate LCM of 73,32,292
2 | 73, 32, 292 |
2 | 73, 16, 146 |
73 | 73, 8, 73 |
1, 8, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 73 x 1 x 8 x 1 = 2336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2336
Therefore, the GCF of Fractions 82/73,322/32,562/292 is 2/2336
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 73,32,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,32,292) = 1
common factors(in case of two or more numbers have common factors) = 292
GCF(73,32,292) x common factors =1 x 292 = 292
LCM(73,32,292) = ( 73 × 32 × 292 ) / 292
LCM(73,32,292) = 682112 / 292
LCM(73,32,292) = 2336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 82,322,562?
The HCF of 82,322,562 is 2
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 82/73, 322/32, 562/292?
Answer: GCF of Numerators as per given numbers 82/73, 322/32, 562/292 is
GCF of Numerators i.e. for 82,322,562 is 2
LCM of denominators i.e. for 73,32,292 is 2336.
Thus, GCF of Fractions is 2/2336.Finally, GCF of Fractions for 82/73, 322/32, 562/292 is 2/2336.