Use our free GCF of Fractions Calculator tool to compute the GCF of 5491/345, 8853/251 i.e 1/86595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5491/345, 8853/251.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5491/345,8853/251
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 5491/345,8853/251, numerators are 5491,8853
Denominators are 345,251
The GCF of 5491,8853 is 1 .
LCM of 345,251 is 86595.
The greatest common factor of 5491/345,8853/251 = [GCF of 5491,8853]/[LCM of 345,251]= 1/86595
Therefore, the GCF of 5491/345,8853/251 is 1/86595.
To find the highest common factor of 5491,8853, we have to find the factors of both numbers and list the highest common factor.
The factors of 5491 are 1, 17, 19, 289, 323, 5491
The factors of 8853 are 1, 3, 13, 39, 227, 681, 2951, 8853
The HCF of 5491,8853 is 1.
Lets's calculate GCF of 5491,8853
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5491
:1,17,19,289,323,5491
Now, list down the factors of 8853
:1,3,13,39,227,681,2951,8853
Greatest Common Factor
We found the factors 5491,8853 . The biggest common factor number is the GCF number.
So the greatest common factor 5491,8853 is 1.
Lets's calculate LCM of 345,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 86595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86595
Therefore, the GCF of Fractions 5491/345,8853/251 is 1/86595
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 345,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,251) x common factors =1 x 1 = 1
LCM(345,251) = ( 345 × 251 ) / 1
LCM(345,251) = 86595 / 1
LCM(345,251) = 86595
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5491,8853?
The HCF of 5491,8853 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 5491/345, 8853/251?
Answer: GCF of Numerators as per given numbers 5491/345, 8853/251 is
GCF of Numerators i.e. for 5491,8853 is 1
LCM of denominators i.e. for 345,251 is 86595.
Thus, GCF of Fractions is 1/86595.Finally, GCF of Fractions for 5491/345, 8853/251 is 1/86595.