Use our free GCF of Fractions Calculator tool to compute the GCF of 2577/170, 9896/2866 i.e 1/243610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2577/170, 9896/2866.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2577/170,9896/2866
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 2577/170,9896/2866, numerators are 2577,9896
Denominators are 170,2866
The GCF of 2577,9896 is 1 .
LCM of 170,2866 is 243610.
The greatest common factor of 2577/170,9896/2866 = [GCF of 2577,9896]/[LCM of 170,2866]= 1/243610
Therefore, the GCF of 2577/170,9896/2866 is 1/243610.
To find the highest common factor of 2577,9896, we have to find the factors of both numbers and list the highest common factor.
The factors of 2577 are 1, 3, 859, 2577
The factors of 9896 are 1, 2, 4, 8, 1237, 2474, 4948, 9896
The HCF of 2577,9896 is 1.
Lets's calculate GCF of 2577,9896
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2577
:1,3,859,2577
Now, list down the factors of 9896
:1,2,4,8,1237,2474,4948,9896
Greatest Common Factor
We found the factors 2577,9896 . The biggest common factor number is the GCF number.
So the greatest common factor 2577,9896 is 1.
Lets's calculate LCM of 170,2866
2 | 170, 2866 |
85, 1433 |
∴ So the LCM of the given numbers is 2 x 85 x 1433 = 243610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243610
Therefore, the GCF of Fractions 2577/170,9896/2866 is 1/243610
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 170,2866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,2866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,2866) x common factors =2 x 1 = 2
LCM(170,2866) = ( 170 × 2866 ) / 2
LCM(170,2866) = 487220 / 2
LCM(170,2866) = 243610
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2577,9896?
The HCF of 2577,9896 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 2577/170, 9896/2866?
Answer: GCF of Numerators as per given numbers 2577/170, 9896/2866 is
GCF of Numerators i.e. for 2577,9896 is 1
LCM of denominators i.e. for 170,2866 is 243610.
Thus, GCF of Fractions is 1/243610.Finally, GCF of Fractions for 2577/170, 9896/2866 is 1/243610.