Use our free GCF of Fractions Calculator tool to compute the GCF of 9039/572, 3595/5167 i.e 1/2955524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9039/572, 3595/5167.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9039/572,3595/5167
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 9039/572,3595/5167, numerators are 9039,3595
Denominators are 572,5167
The GCF of 9039,3595 is 1 .
LCM of 572,5167 is 2955524.
The greatest common factor of 9039/572,3595/5167 = [GCF of 9039,3595]/[LCM of 572,5167]= 1/2955524
Therefore, the GCF of 9039/572,3595/5167 is 1/2955524.
To find the highest common factor of 9039,3595, we have to find the factors of both numbers and list the highest common factor.
The factors of 9039 are 1, 3, 23, 69, 131, 393, 3013, 9039
The factors of 3595 are 1, 5, 719, 3595
The HCF of 9039,3595 is 1.
Lets's calculate GCF of 9039,3595
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9039
:1,3,23,69,131,393,3013,9039
Now, list down the factors of 3595
:1,5,719,3595
Greatest Common Factor
We found the factors 9039,3595 . The biggest common factor number is the GCF number.
So the greatest common factor 9039,3595 is 1.
Lets's calculate LCM of 572,5167
Given numbers has no common factors except 1. So, there LCM is their product i.e 2955524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2955524
Therefore, the GCF of Fractions 9039/572,3595/5167 is 1/2955524
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 572,5167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,5167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(572,5167) x common factors =1 x 1 = 1
LCM(572,5167) = ( 572 × 5167 ) / 1
LCM(572,5167) = 2955524 / 1
LCM(572,5167) = 2955524
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9039,3595?
The HCF of 9039,3595 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 9039/572, 3595/5167?
Answer: GCF of Numerators as per given numbers 9039/572, 3595/5167 is
GCF of Numerators i.e. for 9039,3595 is 1
LCM of denominators i.e. for 572,5167 is 2955524.
Thus, GCF of Fractions is 1/2955524.Finally, GCF of Fractions for 9039/572, 3595/5167 is 1/2955524.