Use our free GCF of Fractions Calculator tool to compute the GCF of 9017/790, 8159/5543 i.e 1/4378970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9017/790, 8159/5543.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9017/790,8159/5543
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 9017/790,8159/5543, numerators are 9017,8159
Denominators are 790,5543
The GCF of 9017,8159 is 1 .
LCM of 790,5543 is 4378970.
The greatest common factor of 9017/790,8159/5543 = [GCF of 9017,8159]/[LCM of 790,5543]= 1/4378970
Therefore, the GCF of 9017/790,8159/5543 is 1/4378970.
To find the highest common factor of 9017,8159, we have to find the factors of both numbers and list the highest common factor.
The factors of 9017 are 1, 71, 127, 9017
The factors of 8159 are 1, 41, 199, 8159
The HCF of 9017,8159 is 1.
Lets's calculate GCF of 9017,8159
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9017
:1,71,127,9017
Now, list down the factors of 8159
:1,41,199,8159
Greatest Common Factor
We found the factors 9017,8159 . The biggest common factor number is the GCF number.
So the greatest common factor 9017,8159 is 1.
Lets's calculate LCM of 790,5543
Given numbers has no common factors except 1. So, there LCM is their product i.e 4378970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4378970
Therefore, the GCF of Fractions 9017/790,8159/5543 is 1/4378970
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 790,5543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,5543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,5543) x common factors =1 x 1 = 1
LCM(790,5543) = ( 790 × 5543 ) / 1
LCM(790,5543) = 4378970 / 1
LCM(790,5543) = 4378970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9017,8159?
The HCF of 9017,8159 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 9017/790, 8159/5543?
Answer: GCF of Numerators as per given numbers 9017/790, 8159/5543 is
GCF of Numerators i.e. for 9017,8159 is 1
LCM of denominators i.e. for 790,5543 is 4378970.
Thus, GCF of Fractions is 1/4378970.Finally, GCF of Fractions for 9017/790, 8159/5543 is 1/4378970.