Use our free GCF of Fractions Calculator tool to compute the GCF of 2444/803, 8589/6127 i.e 1/447271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2444/803, 8589/6127.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2444/803,8589/6127
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 2444/803,8589/6127, numerators are 2444,8589
Denominators are 803,6127
The GCF of 2444,8589 is 1 .
LCM of 803,6127 is 447271.
The greatest common factor of 2444/803,8589/6127 = [GCF of 2444,8589]/[LCM of 803,6127]= 1/447271
Therefore, the GCF of 2444/803,8589/6127 is 1/447271.
To find the highest common factor of 2444,8589, we have to find the factors of both numbers and list the highest common factor.
The factors of 2444 are 1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444
The factors of 8589 are 1, 3, 7, 21, 409, 1227, 2863, 8589
The HCF of 2444,8589 is 1.
Lets's calculate GCF of 2444,8589
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2444
:1,2,4,13,26,47,52,94,188,611,1222,2444
Now, list down the factors of 8589
:1,3,7,21,409,1227,2863,8589
Greatest Common Factor
We found the factors 2444,8589 . The biggest common factor number is the GCF number.
So the greatest common factor 2444,8589 is 1.
Lets's calculate LCM of 803,6127
11 | 803, 6127 |
73, 557 |
∴ So the LCM of the given numbers is 11 x 73 x 557 = 447271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447271
Therefore, the GCF of Fractions 2444/803,8589/6127 is 1/447271
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 803,6127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,6127) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(803,6127) x common factors =11 x 1 = 11
LCM(803,6127) = ( 803 × 6127 ) / 11
LCM(803,6127) = 4919981 / 11
LCM(803,6127) = 447271
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2444,8589?
The HCF of 2444,8589 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 2444/803, 8589/6127?
Answer: GCF of Numerators as per given numbers 2444/803, 8589/6127 is
GCF of Numerators i.e. for 2444,8589 is 1
LCM of denominators i.e. for 803,6127 is 447271.
Thus, GCF of Fractions is 1/447271.Finally, GCF of Fractions for 2444/803, 8589/6127 is 1/447271.