Use our free GCF of Fractions Calculator tool to compute the GCF of 1082/555, 2129/6549 i.e 1/32745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1082/555, 2129/6549.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1082/555,2129/6549
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 1082/555,2129/6549, numerators are 1082,2129
Denominators are 555,6549
The GCF of 1082,2129 is 1 .
LCM of 555,6549 is 32745.
The greatest common factor of 1082/555,2129/6549 = [GCF of 1082,2129]/[LCM of 555,6549]= 1/32745
Therefore, the GCF of 1082/555,2129/6549 is 1/32745.
To find the highest common factor of 1082,2129, we have to find the factors of both numbers and list the highest common factor.
The factors of 1082 are 1, 2, 541, 1082
The factors of 2129 are 1, 2129
The HCF of 1082,2129 is 1.
Lets's calculate GCF of 1082,2129
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1082
:1,2,541,1082
Now, list down the factors of 2129
:1,2129
Greatest Common Factor
We found the factors 1082,2129 . The biggest common factor number is the GCF number.
So the greatest common factor 1082,2129 is 1.
Lets's calculate LCM of 555,6549
3 | 555, 6549 |
37 | 185, 2183 |
5, 59 |
∴ So the LCM of the given numbers is 3 x 37 x 5 x 59 = 32745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32745
Therefore, the GCF of Fractions 1082/555,2129/6549 is 1/32745
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 555,6549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,6549) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(555,6549) x common factors =111 x 1 = 111
LCM(555,6549) = ( 555 × 6549 ) / 111
LCM(555,6549) = 3634695 / 111
LCM(555,6549) = 32745
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1082,2129?
The HCF of 1082,2129 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 1082/555, 2129/6549?
Answer: GCF of Numerators as per given numbers 1082/555, 2129/6549 is
GCF of Numerators i.e. for 1082,2129 is 1
LCM of denominators i.e. for 555,6549 is 32745.
Thus, GCF of Fractions is 1/32745.Finally, GCF of Fractions for 1082/555, 2129/6549 is 1/32745.