Use our free GCF of Fractions Calculator tool to compute the GCF of 7172/537, 2791/8697 i.e 1/1556763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7172/537, 2791/8697.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7172/537,2791/8697
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 7172/537,2791/8697, numerators are 7172,2791
Denominators are 537,8697
The GCF of 7172,2791 is 1 .
LCM of 537,8697 is 1556763.
The greatest common factor of 7172/537,2791/8697 = [GCF of 7172,2791]/[LCM of 537,8697]= 1/1556763
Therefore, the GCF of 7172/537,2791/8697 is 1/1556763.
To find the highest common factor of 7172,2791, we have to find the factors of both numbers and list the highest common factor.
The factors of 7172 are 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172
The factors of 2791 are 1, 2791
The HCF of 7172,2791 is 1.
Lets's calculate GCF of 7172,2791
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7172
:1,2,4,11,22,44,163,326,652,1793,3586,7172
Now, list down the factors of 2791
:1,2791
Greatest Common Factor
We found the factors 7172,2791 . The biggest common factor number is the GCF number.
So the greatest common factor 7172,2791 is 1.
Lets's calculate LCM of 537,8697
3 | 537, 8697 |
179, 2899 |
∴ So the LCM of the given numbers is 3 x 179 x 2899 = 1556763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1556763
Therefore, the GCF of Fractions 7172/537,2791/8697 is 1/1556763
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 537,8697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,8697) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(537,8697) x common factors =3 x 1 = 3
LCM(537,8697) = ( 537 × 8697 ) / 3
LCM(537,8697) = 4670289 / 3
LCM(537,8697) = 1556763
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7172,2791?
The HCF of 7172,2791 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 7172/537, 2791/8697?
Answer: GCF of Numerators as per given numbers 7172/537, 2791/8697 is
GCF of Numerators i.e. for 7172,2791 is 1
LCM of denominators i.e. for 537,8697 is 1556763.
Thus, GCF of Fractions is 1/1556763.Finally, GCF of Fractions for 7172/537, 2791/8697 is 1/1556763.