GCF of 9599/180, 1365/7889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9599/180, 1365/7889 i.e 1/1420020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9599/180, 1365/7889.
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 9599/180,1365/7889?
Given fractions are 9599/180,1365/7889
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 9599/180,1365/7889, numerators are 9599,1365
Denominators are 180,7889
The GCF of 9599,1365 is 1 .
LCM of 180,7889 is 1420020.
The greatest common factor of 9599/180,1365/7889 = [GCF of 9599,1365]/[LCM of 180,7889]= 1/1420020
Therefore, the GCF of 9599/180,1365/7889 is 1/1420020.
To find the highest common factor of 9599,1365, we have to find the factors of both numbers and list the highest common factor.
The factors of 9599 are 1, 29, 331, 9599
The factors of 1365 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365
The HCF of 9599,1365 is 1.
Lets's calculate GCF of 9599,1365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9599,1365 By Matching Biggest Common Factor Method
Now, list down the factors of 9599
:1,29,331,9599
Now, list down the factors of 1365
:1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365
Greatest Common Factor
We found the factors 9599,1365 . The biggest common factor number is the GCF number.
So the greatest common factor 9599,1365 is 1.
Lets's calculate LCM of 180,7889
Given numbers has no common factors except 1. So, there LCM is their product i.e 1420020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1420020
Therefore, the GCF of Fractions 9599/180,1365/7889 is 1/1420020
Least Common Multiple of 180,7889 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 180,7889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,7889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,7889) x common factors =1 x 1 = 1
LCM(180,7889) = ( 180 × 7889 ) / 1
LCM(180,7889) = 1420020 / 1
LCM(180,7889) = 1420020
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9599/180, 1365/7889
1. What is the HCF of 9599,1365?
The HCF of 9599,1365 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 9599/180, 1365/7889?
Answer: GCF of Numerators as per given numbers 9599/180, 1365/7889 is
GCF of Numerators i.e. for 9599,1365 is 1
LCM of denominators i.e. for 180,7889 is 1420020.
Thus, GCF of Fractions is 1/1420020.Finally, GCF of Fractions for 9599/180, 1365/7889 is 1/1420020.