Use our free GCF of Fractions Calculator tool to compute the GCF of 5753/259, 6039/2690 i.e 11/696710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5753/259, 6039/2690.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5753/259,6039/2690
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 5753/259,6039/2690, numerators are 5753,6039
Denominators are 259,2690
The GCF of 5753,6039 is 11 .
LCM of 259,2690 is 696710.
The greatest common factor of 5753/259,6039/2690 = [GCF of 5753,6039]/[LCM of 259,2690]= 11/696710
Therefore, the GCF of 5753/259,6039/2690 is 11/696710.
To find the highest common factor of 5753,6039, we have to find the factors of both numbers and list the highest common factor.
The factors of 5753 are 1, 11, 523, 5753
The factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039
The HCF of 5753,6039 is 11.
Lets's calculate GCF of 5753,6039
11 | 5753, 6039 |
523, 549 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 5753
:1,11,523,5753
Now, list down the factors of 6039
:1,3,9,11,33,61,99,183,549,671,2013,6039
Greatest Common Factor
We found the factors 5753,6039 . The biggest common factor number is the GCF number.
So the greatest common factor 5753,6039 is 11.
Lets's calculate LCM of 259,2690
Given numbers has no common factors except 1. So, there LCM is their product i.e 696710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/696710
Therefore, the GCF of Fractions 5753/259,6039/2690 is 11/696710
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 259,2690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,2690) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,2690) x common factors =1 x 1 = 1
LCM(259,2690) = ( 259 × 2690 ) / 1
LCM(259,2690) = 696710 / 1
LCM(259,2690) = 696710
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5753,6039?
The HCF of 5753,6039 is 11
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 5753/259, 6039/2690?
Answer: GCF of Numerators as per given numbers 5753/259, 6039/2690 is
GCF of Numerators i.e. for 5753,6039 is 11
LCM of denominators i.e. for 259,2690 is 696710.
Thus, GCF of Fractions is 11/696710.Finally, GCF of Fractions for 5753/259, 6039/2690 is 11/696710.