Use our free GCF of Fractions Calculator tool to compute the GCF of 8011/879, 8726/3601 i.e 1/3165279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8011/879, 8726/3601.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8011/879,8726/3601
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 8011/879,8726/3601, numerators are 8011,8726
Denominators are 879,3601
The GCF of 8011,8726 is 1 .
LCM of 879,3601 is 3165279.
The greatest common factor of 8011/879,8726/3601 = [GCF of 8011,8726]/[LCM of 879,3601]= 1/3165279
Therefore, the GCF of 8011/879,8726/3601 is 1/3165279.
To find the highest common factor of 8011,8726, we have to find the factors of both numbers and list the highest common factor.
The factors of 8011 are 1, 8011
The factors of 8726 are 1, 2, 4363, 8726
The HCF of 8011,8726 is 1.
Lets's calculate GCF of 8011,8726
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8011
:1,8011
Now, list down the factors of 8726
:1,2,4363,8726
Greatest Common Factor
We found the factors 8011,8726 . The biggest common factor number is the GCF number.
So the greatest common factor 8011,8726 is 1.
Lets's calculate LCM of 879,3601
Given numbers has no common factors except 1. So, there LCM is their product i.e 3165279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3165279
Therefore, the GCF of Fractions 8011/879,8726/3601 is 1/3165279
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 879,3601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,3601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,3601) x common factors =1 x 1 = 1
LCM(879,3601) = ( 879 × 3601 ) / 1
LCM(879,3601) = 3165279 / 1
LCM(879,3601) = 3165279
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8011,8726?
The HCF of 8011,8726 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 8011/879, 8726/3601?
Answer: GCF of Numerators as per given numbers 8011/879, 8726/3601 is
GCF of Numerators i.e. for 8011,8726 is 1
LCM of denominators i.e. for 879,3601 is 3165279.
Thus, GCF of Fractions is 1/3165279.Finally, GCF of Fractions for 8011/879, 8726/3601 is 1/3165279.