Use our free GCF of Fractions Calculator tool to compute the GCF of 1683/879, 1496/5712 i.e 187/1673616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1683/879, 1496/5712.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1683/879,1496/5712
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 1683/879,1496/5712, numerators are 1683,1496
Denominators are 879,5712
The GCF of 1683,1496 is 187 .
LCM of 879,5712 is 1673616.
The greatest common factor of 1683/879,1496/5712 = [GCF of 1683,1496]/[LCM of 879,5712]= 187/1673616
Therefore, the GCF of 1683/879,1496/5712 is 187/1673616.
To find the highest common factor of 1683,1496, we have to find the factors of both numbers and list the highest common factor.
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496
The HCF of 1683,1496 is 187.
Lets's calculate GCF of 1683,1496
11 | 1683, 1496 |
17 | 153, 136 |
9, 8 |
∴ So the GCF of the given numbers is 11 x 17 = 187
Now, list down the factors of 1683
:1,3,9,11,17,33,51,99,153,187,561,1683
Now, list down the factors of 1496
:1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496
Greatest Common Factor
We found the factors 1683,1496 . The biggest common factor number is the GCF number.
So the greatest common factor 1683,1496 is 187.
Lets's calculate LCM of 879,5712
3 | 879, 5712 |
293, 1904 |
∴ So the LCM of the given numbers is 3 x 293 x 1904 = 1673616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 187/1673616
Therefore, the GCF of Fractions 1683/879,1496/5712 is 187/1673616
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 879,5712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,5712) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(879,5712) x common factors =3 x 1 = 3
LCM(879,5712) = ( 879 × 5712 ) / 3
LCM(879,5712) = 5020848 / 3
LCM(879,5712) = 1673616
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1683,1496?
The HCF of 1683,1496 is 187
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 1683/879, 1496/5712?
Answer: GCF of Numerators as per given numbers 1683/879, 1496/5712 is
GCF of Numerators i.e. for 1683,1496 is 187
LCM of denominators i.e. for 879,5712 is 1673616.
Thus, GCF of Fractions is 187/1673616.Finally, GCF of Fractions for 1683/879, 1496/5712 is 187/1673616.