Use our free GCF of Fractions Calculator tool to compute the GCF of 82/849, 193/646, 271/492 i.e 1/44973228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 82/849, 193/646, 271/492.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/849,193/646,271/492
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 82/849,193/646,271/492, numerators are 82,193,271
Denominators are 849,646,492
The GCF of 82,193,271 is 1 .
LCM of 849,646,492 is 44973228.
The greatest common factor of 82/849,193/646,271/492 = [GCF of 82,193,271]/[LCM of 849,646,492]= 1/44973228
Therefore, the GCF of 82/849,193/646,271/492 is 1/44973228.
To find the highest common factor of 82,193,271, 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 193 are 1, 193
The factors of 271 are 1, 271
The HCF of 82,193,271 is 1.
Lets's calculate GCF of 82,193,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 193
:1,193
Now, list down the factors of 271
:1,271
Greatest Common Factor
We found the factors 82,193,271 . The biggest common factor number is the GCF number.
So the greatest common factor 82,193,271 is 1.
Lets's calculate LCM of 849,646,492
2 | 849, 646, 492 |
3 | 849, 323, 246 |
283, 323, 82 |
∴ So the LCM of the given numbers is 2 x 3 x 283 x 323 x 82 = 44973228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44973228
Therefore, the GCF of Fractions 82/849,193/646,271/492 is 1/44973228
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 849,646,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,646,492) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(849,646,492) x common factors =1 x 6 = 6
LCM(849,646,492) = ( 849 × 646 × 492 ) / 6
LCM(849,646,492) = 269839368 / 6
LCM(849,646,492) = 44973228
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 82,193,271?
The HCF of 82,193,271 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 82/849, 193/646, 271/492?
Answer: GCF of Numerators as per given numbers 82/849, 193/646, 271/492 is
GCF of Numerators i.e. for 82,193,271 is 1
LCM of denominators i.e. for 849,646,492 is 44973228.
Thus, GCF of Fractions is 1/44973228.Finally, GCF of Fractions for 82/849, 193/646, 271/492 is 1/44973228.