Use our free GCF of Fractions Calculator tool to compute the GCF of 8238/669, 9042/5205 i.e 6/1160715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8238/669, 9042/5205.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8238/669,9042/5205
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 8238/669,9042/5205, numerators are 8238,9042
Denominators are 669,5205
The GCF of 8238,9042 is 6 .
LCM of 669,5205 is 1160715.
The greatest common factor of 8238/669,9042/5205 = [GCF of 8238,9042]/[LCM of 669,5205]= 6/1160715
Therefore, the GCF of 8238/669,9042/5205 is 6/1160715.
To find the highest common factor of 8238,9042, we have to find the factors of both numbers and list the highest common factor.
The factors of 8238 are 1, 2, 3, 6, 1373, 2746, 4119, 8238
The factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042
The HCF of 8238,9042 is 6.
Lets's calculate GCF of 8238,9042
2 | 8238, 9042 |
3 | 4119, 4521 |
1373, 1507 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 8238
:1,2,3,6,1373,2746,4119,8238
Now, list down the factors of 9042
:1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042
Greatest Common Factor
We found the factors 8238,9042 . The biggest common factor number is the GCF number.
So the greatest common factor 8238,9042 is 6.
Lets's calculate LCM of 669,5205
3 | 669, 5205 |
223, 1735 |
∴ So the LCM of the given numbers is 3 x 223 x 1735 = 1160715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1160715
Therefore, the GCF of Fractions 8238/669,9042/5205 is 6/1160715
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 669,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,5205) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(669,5205) x common factors =3 x 1 = 3
LCM(669,5205) = ( 669 × 5205 ) / 3
LCM(669,5205) = 3482145 / 3
LCM(669,5205) = 1160715
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8238,9042?
The HCF of 8238,9042 is 6
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 8238/669, 9042/5205?
Answer: GCF of Numerators as per given numbers 8238/669, 9042/5205 is
GCF of Numerators i.e. for 8238,9042 is 6
LCM of denominators i.e. for 669,5205 is 1160715.
Thus, GCF of Fractions is 6/1160715.Finally, GCF of Fractions for 8238/669, 9042/5205 is 6/1160715.