GCF of 1773/806, 8504/8133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1773/806, 8504/8133 i.e 1/6555198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1773/806, 8504/8133.
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 1773/806,8504/8133?
Given fractions are 1773/806,8504/8133
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 1773/806,8504/8133, numerators are 1773,8504
Denominators are 806,8133
The GCF of 1773,8504 is 1 .
LCM of 806,8133 is 6555198.
The greatest common factor of 1773/806,8504/8133 = [GCF of 1773,8504]/[LCM of 806,8133]= 1/6555198
Therefore, the GCF of 1773/806,8504/8133 is 1/6555198.
To find the highest common factor of 1773,8504, we have to find the factors of both numbers and list the highest common factor.
The factors of 1773 are 1, 3, 9, 197, 591, 1773
The factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504
The HCF of 1773,8504 is 1.
Lets's calculate GCF of 1773,8504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1773,8504 By Matching Biggest Common Factor Method
Now, list down the factors of 1773
:1,3,9,197,591,1773
Now, list down the factors of 8504
:1,2,4,8,1063,2126,4252,8504
Greatest Common Factor
We found the factors 1773,8504 . The biggest common factor number is the GCF number.
So the greatest common factor 1773,8504 is 1.
Lets's calculate LCM of 806,8133
Given numbers has no common factors except 1. So, there LCM is their product i.e 6555198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6555198
Therefore, the GCF of Fractions 1773/806,8504/8133 is 1/6555198
Least Common Multiple of 806,8133 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 806,8133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,8133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,8133) x common factors =1 x 1 = 1
LCM(806,8133) = ( 806 × 8133 ) / 1
LCM(806,8133) = 6555198 / 1
LCM(806,8133) = 6555198
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1773/806, 8504/8133
1. What is the HCF of 1773,8504?
The HCF of 1773,8504 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 1773/806, 8504/8133?
Answer: GCF of Numerators as per given numbers 1773/806, 8504/8133 is
GCF of Numerators i.e. for 1773,8504 is 1
LCM of denominators i.e. for 806,8133 is 6555198.
Thus, GCF of Fractions is 1/6555198.Finally, GCF of Fractions for 1773/806, 8504/8133 is 1/6555198.