GCF of 7329/205, 2080/781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7329/205, 2080/781 i.e 1/160105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7329/205, 2080/781.
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 7329/205,2080/781?
Given fractions are 7329/205,2080/781
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 7329/205,2080/781, numerators are 7329,2080
Denominators are 205,781
The GCF of 7329,2080 is 1 .
LCM of 205,781 is 160105.
The greatest common factor of 7329/205,2080/781 = [GCF of 7329,2080]/[LCM of 205,781]= 1/160105
Therefore, the GCF of 7329/205,2080/781 is 1/160105.
To find the highest common factor of 7329,2080, we have to find the factors of both numbers and list the highest common factor.
The factors of 7329 are 1, 3, 7, 21, 349, 1047, 2443, 7329
The factors of 2080 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080
The HCF of 7329,2080 is 1.
Lets's calculate GCF of 7329,2080
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7329,2080 By Matching Biggest Common Factor Method
Now, list down the factors of 7329
:1,3,7,21,349,1047,2443,7329
Now, list down the factors of 2080
:1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080
Greatest Common Factor
We found the factors 7329,2080 . The biggest common factor number is the GCF number.
So the greatest common factor 7329,2080 is 1.
Lets's calculate LCM of 205,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 160105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160105
Therefore, the GCF of Fractions 7329/205,2080/781 is 1/160105
Least Common Multiple of 205,781 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 205,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,781) x common factors =1 x 1 = 1
LCM(205,781) = ( 205 × 781 ) / 1
LCM(205,781) = 160105 / 1
LCM(205,781) = 160105
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7329/205, 2080/781
1. What is the HCF of 7329,2080?
The HCF of 7329,2080 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 7329/205, 2080/781?
Answer: GCF of Numerators as per given numbers 7329/205, 2080/781 is
GCF of Numerators i.e. for 7329,2080 is 1
LCM of denominators i.e. for 205,781 is 160105.
Thus, GCF of Fractions is 1/160105.Finally, GCF of Fractions for 7329/205, 2080/781 is 1/160105.