Use our free GCF of Fractions Calculator tool to compute the GCF of 8553/798, 9959/426 i.e 1/56658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8553/798, 9959/426.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8553/798,9959/426
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 8553/798,9959/426, numerators are 8553,9959
Denominators are 798,426
The GCF of 8553,9959 is 1 .
LCM of 798,426 is 56658.
The greatest common factor of 8553/798,9959/426 = [GCF of 8553,9959]/[LCM of 798,426]= 1/56658
Therefore, the GCF of 8553/798,9959/426 is 1/56658.
To find the highest common factor of 8553,9959, we have to find the factors of both numbers and list the highest common factor.
The factors of 8553 are 1, 3, 2851, 8553
The factors of 9959 are 1, 23, 433, 9959
The HCF of 8553,9959 is 1.
Lets's calculate GCF of 8553,9959
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8553
:1,3,2851,8553
Now, list down the factors of 9959
:1,23,433,9959
Greatest Common Factor
We found the factors 8553,9959 . The biggest common factor number is the GCF number.
So the greatest common factor 8553,9959 is 1.
Lets's calculate LCM of 798,426
2 | 798, 426 |
3 | 399, 213 |
133, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 133 x 71 = 56658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56658
Therefore, the GCF of Fractions 8553/798,9959/426 is 1/56658
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 798,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,426) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(798,426) x common factors =6 x 1 = 6
LCM(798,426) = ( 798 × 426 ) / 6
LCM(798,426) = 339948 / 6
LCM(798,426) = 56658
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8553,9959?
The HCF of 8553,9959 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 8553/798, 9959/426?
Answer: GCF of Numerators as per given numbers 8553/798, 9959/426 is
GCF of Numerators i.e. for 8553,9959 is 1
LCM of denominators i.e. for 798,426 is 56658.
Thus, GCF of Fractions is 1/56658.Finally, GCF of Fractions for 8553/798, 9959/426 is 1/56658.