Use our free GCF of Fractions Calculator tool to compute the GCF of 3083/455, 6639/415 i.e 1/37765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3083/455, 6639/415.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3083/455,6639/415
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 3083/455,6639/415, numerators are 3083,6639
Denominators are 455,415
The GCF of 3083,6639 is 1 .
LCM of 455,415 is 37765.
The greatest common factor of 3083/455,6639/415 = [GCF of 3083,6639]/[LCM of 455,415]= 1/37765
Therefore, the GCF of 3083/455,6639/415 is 1/37765.
To find the highest common factor of 3083,6639, we have to find the factors of both numbers and list the highest common factor.
The factors of 3083 are 1, 3083
The factors of 6639 are 1, 3, 2213, 6639
The HCF of 3083,6639 is 1.
Lets's calculate GCF of 3083,6639
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3083
:1,3083
Now, list down the factors of 6639
:1,3,2213,6639
Greatest Common Factor
We found the factors 3083,6639 . The biggest common factor number is the GCF number.
So the greatest common factor 3083,6639 is 1.
Lets's calculate LCM of 455,415
5 | 455, 415 |
91, 83 |
∴ So the LCM of the given numbers is 5 x 91 x 83 = 37765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37765
Therefore, the GCF of Fractions 3083/455,6639/415 is 1/37765
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 455,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,415) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(455,415) x common factors =5 x 1 = 5
LCM(455,415) = ( 455 × 415 ) / 5
LCM(455,415) = 188825 / 5
LCM(455,415) = 37765
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3083,6639?
The HCF of 3083,6639 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 3083/455, 6639/415?
Answer: GCF of Numerators as per given numbers 3083/455, 6639/415 is
GCF of Numerators i.e. for 3083,6639 is 1
LCM of denominators i.e. for 455,415 is 37765.
Thus, GCF of Fractions is 1/37765.Finally, GCF of Fractions for 3083/455, 6639/415 is 1/37765.