Use our free GCF of Fractions Calculator tool to compute the GCF of 2496/591, 7695/939 i.e 3/184983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2496/591, 7695/939.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2496/591,7695/939
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 2496/591,7695/939, numerators are 2496,7695
Denominators are 591,939
The GCF of 2496,7695 is 3 .
LCM of 591,939 is 184983.
The greatest common factor of 2496/591,7695/939 = [GCF of 2496,7695]/[LCM of 591,939]= 3/184983
Therefore, the GCF of 2496/591,7695/939 is 3/184983.
To find the highest common factor of 2496,7695, we have to find the factors of both numbers and list the highest common factor.
The factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496
The factors of 7695 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 81, 95, 135, 171, 285, 405, 513, 855, 1539, 2565, 7695
The HCF of 2496,7695 is 3.
Lets's calculate GCF of 2496,7695
3 | 2496, 7695 |
832, 2565 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 2496
:1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496
Now, list down the factors of 7695
:1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695
Greatest Common Factor
We found the factors 2496,7695 . The biggest common factor number is the GCF number.
So the greatest common factor 2496,7695 is 3.
Lets's calculate LCM of 591,939
3 | 591, 939 |
197, 313 |
∴ So the LCM of the given numbers is 3 x 197 x 313 = 184983
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/184983
Therefore, the GCF of Fractions 2496/591,7695/939 is 3/184983
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 591,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,939) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(591,939) x common factors =3 x 1 = 3
LCM(591,939) = ( 591 × 939 ) / 3
LCM(591,939) = 554949 / 3
LCM(591,939) = 184983
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2496,7695?
The HCF of 2496,7695 is 3
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 2496/591, 7695/939?
Answer: GCF of Numerators as per given numbers 2496/591, 7695/939 is
GCF of Numerators i.e. for 2496,7695 is 3
LCM of denominators i.e. for 591,939 is 184983.
Thus, GCF of Fractions is 3/184983.Finally, GCF of Fractions for 2496/591, 7695/939 is 3/184983.