Use our free GCF of Fractions Calculator tool to compute the GCF of 5289/660, 8303/8188 i.e 1/1351020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5289/660, 8303/8188.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5289/660,8303/8188
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 5289/660,8303/8188, numerators are 5289,8303
Denominators are 660,8188
The GCF of 5289,8303 is 1 .
LCM of 660,8188 is 1351020.
The greatest common factor of 5289/660,8303/8188 = [GCF of 5289,8303]/[LCM of 660,8188]= 1/1351020
Therefore, the GCF of 5289/660,8303/8188 is 1/1351020.
To find the highest common factor of 5289,8303, we have to find the factors of both numbers and list the highest common factor.
The factors of 5289 are 1, 3, 41, 43, 123, 129, 1763, 5289
The factors of 8303 are 1, 19, 23, 361, 437, 8303
The HCF of 5289,8303 is 1.
Lets's calculate GCF of 5289,8303
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5289
:1,3,41,43,123,129,1763,5289
Now, list down the factors of 8303
:1,19,23,361,437,8303
Greatest Common Factor
We found the factors 5289,8303 . The biggest common factor number is the GCF number.
So the greatest common factor 5289,8303 is 1.
Lets's calculate LCM of 660,8188
2 | 660, 8188 |
2 | 330, 4094 |
165, 2047 |
∴ So the LCM of the given numbers is 2 x 2 x 165 x 2047 = 1351020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1351020
Therefore, the GCF of Fractions 5289/660,8303/8188 is 1/1351020
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 660,8188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,8188) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(660,8188) x common factors =4 x 1 = 4
LCM(660,8188) = ( 660 × 8188 ) / 4
LCM(660,8188) = 5404080 / 4
LCM(660,8188) = 1351020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5289,8303?
The HCF of 5289,8303 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 5289/660, 8303/8188?
Answer: GCF of Numerators as per given numbers 5289/660, 8303/8188 is
GCF of Numerators i.e. for 5289,8303 is 1
LCM of denominators i.e. for 660,8188 is 1351020.
Thus, GCF of Fractions is 1/1351020.Finally, GCF of Fractions for 5289/660, 8303/8188 is 1/1351020.