Use our free GCF of Fractions Calculator tool to compute the GCF of 5508/768, 7571/2631 i.e 1/673536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5508/768, 7571/2631.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5508/768,7571/2631
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 5508/768,7571/2631, numerators are 5508,7571
Denominators are 768,2631
The GCF of 5508,7571 is 1 .
LCM of 768,2631 is 673536.
The greatest common factor of 5508/768,7571/2631 = [GCF of 5508,7571]/[LCM of 768,2631]= 1/673536
Therefore, the GCF of 5508/768,7571/2631 is 1/673536.
To find the highest common factor of 5508,7571, we have to find the factors of both numbers and list the highest common factor.
The factors of 5508 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 306, 324, 459, 612, 918, 1377, 1836, 2754, 5508
The factors of 7571 are 1, 67, 113, 7571
The HCF of 5508,7571 is 1.
Lets's calculate GCF of 5508,7571
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5508
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,81,102,108,153,162,204,306,324,459,612,918,1377,1836,2754,5508
Now, list down the factors of 7571
:1,67,113,7571
Greatest Common Factor
We found the factors 5508,7571 . The biggest common factor number is the GCF number.
So the greatest common factor 5508,7571 is 1.
Lets's calculate LCM of 768,2631
3 | 768, 2631 |
256, 877 |
∴ So the LCM of the given numbers is 3 x 256 x 877 = 673536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673536
Therefore, the GCF of Fractions 5508/768,7571/2631 is 1/673536
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 768,2631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,2631) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(768,2631) x common factors =3 x 1 = 3
LCM(768,2631) = ( 768 × 2631 ) / 3
LCM(768,2631) = 2020608 / 3
LCM(768,2631) = 673536
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5508,7571?
The HCF of 5508,7571 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 5508/768, 7571/2631?
Answer: GCF of Numerators as per given numbers 5508/768, 7571/2631 is
GCF of Numerators i.e. for 5508,7571 is 1
LCM of denominators i.e. for 768,2631 is 673536.
Thus, GCF of Fractions is 1/673536.Finally, GCF of Fractions for 5508/768, 7571/2631 is 1/673536.