GCF of 1333/583, 9599/3576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1333/583, 9599/3576 i.e 1/2084808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1333/583, 9599/3576.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1333/583,9599/3576?
Given fractions are 1333/583,9599/3576
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 1333/583,9599/3576, numerators are 1333,9599
Denominators are 583,3576
The GCF of 1333,9599 is 1 .
LCM of 583,3576 is 2084808.
The greatest common factor of 1333/583,9599/3576 = [GCF of 1333,9599]/[LCM of 583,3576]= 1/2084808
Therefore, the GCF of 1333/583,9599/3576 is 1/2084808.
To find the highest common factor of 1333,9599, we have to find the factors of both numbers and list the highest common factor.
The factors of 1333 are 1, 31, 43, 1333
The factors of 9599 are 1, 29, 331, 9599
The HCF of 1333,9599 is 1.
Lets's calculate GCF of 1333,9599
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1333,9599 By Matching Biggest Common Factor Method
Now, list down the factors of 1333
:1,31,43,1333
Now, list down the factors of 9599
:1,29,331,9599
Greatest Common Factor
We found the factors 1333,9599 . The biggest common factor number is the GCF number.
So the greatest common factor 1333,9599 is 1.
Lets's calculate LCM of 583,3576
Given numbers has no common factors except 1. So, there LCM is their product i.e 2084808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2084808
Therefore, the GCF of Fractions 1333/583,9599/3576 is 1/2084808
Least Common Multiple of 583,3576 with GCF Formula
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 583,3576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,3576) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,3576) x common factors =1 x 1 = 1
LCM(583,3576) = ( 583 × 3576 ) / 1
LCM(583,3576) = 2084808 / 1
LCM(583,3576) = 2084808
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1333/583, 9599/3576
1. What is the HCF of 1333,9599?
The HCF of 1333,9599 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 1333/583, 9599/3576?
Answer: GCF of Numerators as per given numbers 1333/583, 9599/3576 is
GCF of Numerators i.e. for 1333,9599 is 1
LCM of denominators i.e. for 583,3576 is 2084808.
Thus, GCF of Fractions is 1/2084808.Finally, GCF of Fractions for 1333/583, 9599/3576 is 1/2084808.