Use our free GCF of Fractions Calculator tool to compute the GCF of 1589/473, 8391/6527 i.e 1/3087271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1589/473, 8391/6527.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1589/473,8391/6527
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 1589/473,8391/6527, numerators are 1589,8391
Denominators are 473,6527
The GCF of 1589,8391 is 1 .
LCM of 473,6527 is 3087271.
The greatest common factor of 1589/473,8391/6527 = [GCF of 1589,8391]/[LCM of 473,6527]= 1/3087271
Therefore, the GCF of 1589/473,8391/6527 is 1/3087271.
To find the highest common factor of 1589,8391, we have to find the factors of both numbers and list the highest common factor.
The factors of 1589 are 1, 7, 227, 1589
The factors of 8391 are 1, 3, 2797, 8391
The HCF of 1589,8391 is 1.
Lets's calculate GCF of 1589,8391
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1589
:1,7,227,1589
Now, list down the factors of 8391
:1,3,2797,8391
Greatest Common Factor
We found the factors 1589,8391 . The biggest common factor number is the GCF number.
So the greatest common factor 1589,8391 is 1.
Lets's calculate LCM of 473,6527
Given numbers has no common factors except 1. So, there LCM is their product i.e 3087271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3087271
Therefore, the GCF of Fractions 1589/473,8391/6527 is 1/3087271
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 473,6527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,6527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,6527) x common factors =1 x 1 = 1
LCM(473,6527) = ( 473 × 6527 ) / 1
LCM(473,6527) = 3087271 / 1
LCM(473,6527) = 3087271
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1589,8391?
The HCF of 1589,8391 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 1589/473, 8391/6527?
Answer: GCF of Numerators as per given numbers 1589/473, 8391/6527 is
GCF of Numerators i.e. for 1589,8391 is 1
LCM of denominators i.e. for 473,6527 is 3087271.
Thus, GCF of Fractions is 1/3087271.Finally, GCF of Fractions for 1589/473, 8391/6527 is 1/3087271.