Use our free GCF of Fractions Calculator tool to compute the GCF of 520/566, 288/849 i.e 8/1698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/566, 288/849.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 520/566,288/849
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 520/566,288/849, numerators are 520,288
Denominators are 566,849
The GCF of 520,288 is 8 .
LCM of 566,849 is 1698.
The greatest common factor of 520/566,288/849 = [GCF of 520,288]/[LCM of 566,849]= 8/1698
Therefore, the GCF of 520/566,288/849 is 8/1698.
To find the highest common factor of 520,288, we have to find the factors of both numbers and list the highest common factor.
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The HCF of 520,288 is 8.
Lets's calculate GCF of 520,288
2 | 520, 288 |
2 | 260, 144 |
2 | 130, 72 |
65, 36 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 520,288 . The biggest common factor number is the GCF number.
So the greatest common factor 520,288 is 8.
Lets's calculate LCM of 566,849
283 | 566, 849 |
2, 3 |
∴ So the LCM of the given numbers is 283 x 2 x 3 = 1698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1698
Therefore, the GCF of Fractions 520/566,288/849 is 8/1698
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 566,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,849) = 283
common factors(in case of two or more numbers have common factors) = 1
GCF(566,849) x common factors =283 x 1 = 283
LCM(566,849) = ( 566 × 849 ) / 283
LCM(566,849) = 480534 / 283
LCM(566,849) = 1698
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 520,288?
The HCF of 520,288 is 8
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 520/566, 288/849?
Answer: GCF of Numerators as per given numbers 520/566, 288/849 is
GCF of Numerators i.e. for 520,288 is 8
LCM of denominators i.e. for 566,849 is 1698.
Thus, GCF of Fractions is 8/1698.Finally, GCF of Fractions for 520/566, 288/849 is 8/1698.