Use our free GCF of Fractions Calculator tool to compute the GCF of 20/97, 582/72, 198/916 i.e 2/1599336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/97, 582/72, 198/916.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/97,582/72,198/916
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 20/97,582/72,198/916, numerators are 20,582,198
Denominators are 97,72,916
The GCF of 20,582,198 is 2 .
LCM of 97,72,916 is 1599336.
The greatest common factor of 20/97,582/72,198/916 = [GCF of 20,582,198]/[LCM of 97,72,916]= 2/1599336
Therefore, the GCF of 20/97,582/72,198/916 is 2/1599336.
To find the highest common factor of 20,582,198, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The HCF of 20,582,198 is 2.
Lets's calculate GCF of 20,582,198
2 | 20, 582, 198 |
10, 291, 99 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 20,582,198 . The biggest common factor number is the GCF number.
So the greatest common factor 20,582,198 is 2.
Lets's calculate LCM of 97,72,916
2 | 97, 72, 916 |
2 | 97, 36, 458 |
97, 18, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 97 x 18 x 229 = 1599336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1599336
Therefore, the GCF of Fractions 20/97,582/72,198/916 is 2/1599336
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 97,72,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,72,916) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(97,72,916) x common factors =1 x 4 = 4
LCM(97,72,916) = ( 97 × 72 × 916 ) / 4
LCM(97,72,916) = 6397344 / 4
LCM(97,72,916) = 1599336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,582,198?
The HCF of 20,582,198 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 20/97, 582/72, 198/916?
Answer: GCF of Numerators as per given numbers 20/97, 582/72, 198/916 is
GCF of Numerators i.e. for 20,582,198 is 2
LCM of denominators i.e. for 97,72,916 is 1599336.
Thus, GCF of Fractions is 2/1599336.Finally, GCF of Fractions for 20/97, 582/72, 198/916 is 2/1599336.