Use our free GCF of Fractions Calculator tool to compute the GCF of 8891/307, 4257/2734 i.e 1/839338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8891/307, 4257/2734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8891/307,4257/2734
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 8891/307,4257/2734, numerators are 8891,4257
Denominators are 307,2734
The GCF of 8891,4257 is 1 .
LCM of 307,2734 is 839338.
The greatest common factor of 8891/307,4257/2734 = [GCF of 8891,4257]/[LCM of 307,2734]= 1/839338
Therefore, the GCF of 8891/307,4257/2734 is 1/839338.
To find the highest common factor of 8891,4257, we have to find the factors of both numbers and list the highest common factor.
The factors of 8891 are 1, 17, 523, 8891
The factors of 4257 are 1, 3, 9, 11, 33, 43, 99, 129, 387, 473, 1419, 4257
The HCF of 8891,4257 is 1.
Lets's calculate GCF of 8891,4257
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8891
:1,17,523,8891
Now, list down the factors of 4257
:1,3,9,11,33,43,99,129,387,473,1419,4257
Greatest Common Factor
We found the factors 8891,4257 . The biggest common factor number is the GCF number.
So the greatest common factor 8891,4257 is 1.
Lets's calculate LCM of 307,2734
Given numbers has no common factors except 1. So, there LCM is their product i.e 839338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/839338
Therefore, the GCF of Fractions 8891/307,4257/2734 is 1/839338
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 307,2734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,2734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,2734) x common factors =1 x 1 = 1
LCM(307,2734) = ( 307 × 2734 ) / 1
LCM(307,2734) = 839338 / 1
LCM(307,2734) = 839338
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8891,4257?
The HCF of 8891,4257 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 8891/307, 4257/2734?
Answer: GCF of Numerators as per given numbers 8891/307, 4257/2734 is
GCF of Numerators i.e. for 8891,4257 is 1
LCM of denominators i.e. for 307,2734 is 839338.
Thus, GCF of Fractions is 1/839338.Finally, GCF of Fractions for 8891/307, 4257/2734 is 1/839338.