Use our free GCF of Fractions Calculator tool to compute the GCF of 6165/164, 8242/8898 i.e 1/729636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6165/164, 8242/8898.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6165/164,8242/8898
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 6165/164,8242/8898, numerators are 6165,8242
Denominators are 164,8898
The GCF of 6165,8242 is 1 .
LCM of 164,8898 is 729636.
The greatest common factor of 6165/164,8242/8898 = [GCF of 6165,8242]/[LCM of 164,8898]= 1/729636
Therefore, the GCF of 6165/164,8242/8898 is 1/729636.
To find the highest common factor of 6165,8242, we have to find the factors of both numbers and list the highest common factor.
The factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165
The factors of 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242
The HCF of 6165,8242 is 1.
Lets's calculate GCF of 6165,8242
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6165
:1,3,5,9,15,45,137,411,685,1233,2055,6165
Now, list down the factors of 8242
:1,2,13,26,317,634,4121,8242
Greatest Common Factor
We found the factors 6165,8242 . The biggest common factor number is the GCF number.
So the greatest common factor 6165,8242 is 1.
Lets's calculate LCM of 164,8898
2 | 164, 8898 |
82, 4449 |
∴ So the LCM of the given numbers is 2 x 82 x 4449 = 729636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/729636
Therefore, the GCF of Fractions 6165/164,8242/8898 is 1/729636
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 164,8898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,8898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,8898) x common factors =2 x 1 = 2
LCM(164,8898) = ( 164 × 8898 ) / 2
LCM(164,8898) = 1459272 / 2
LCM(164,8898) = 729636
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6165,8242?
The HCF of 6165,8242 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 6165/164, 8242/8898?
Answer: GCF of Numerators as per given numbers 6165/164, 8242/8898 is
GCF of Numerators i.e. for 6165,8242 is 1
LCM of denominators i.e. for 164,8898 is 729636.
Thus, GCF of Fractions is 1/729636.Finally, GCF of Fractions for 6165/164, 8242/8898 is 1/729636.