GCF of 8073/705, 6993/773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8073/705, 6993/773 i.e 27/544965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8073/705, 6993/773.
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 8073/705,6993/773?
Given fractions are 8073/705,6993/773
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 8073/705,6993/773, numerators are 8073,6993
Denominators are 705,773
The GCF of 8073,6993 is 27 .
LCM of 705,773 is 544965.
The greatest common factor of 8073/705,6993/773 = [GCF of 8073,6993]/[LCM of 705,773]= 27/544965
Therefore, the GCF of 8073/705,6993/773 is 27/544965.
To find the highest common factor of 8073,6993, we have to find the factors of both numbers and list the highest common factor.
The factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073
The factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993
The HCF of 8073,6993 is 27.
Lets's calculate GCF of 8073,6993
| 3 | 8073, 6993 |
| 3 | 2691, 2331 |
| 3 | 897, 777 |
| 299, 259 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 8073,6993 By Matching Biggest Common Factor Method
Now, list down the factors of 8073
:1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Now, list down the factors of 6993
:1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993
Greatest Common Factor
We found the factors 8073,6993 . The biggest common factor number is the GCF number.
So the greatest common factor 8073,6993 is 27.
Lets's calculate LCM of 705,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 544965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/544965
Therefore, the GCF of Fractions 8073/705,6993/773 is 27/544965
Least Common Multiple of 705,773 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 705,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,773) x common factors =1 x 1 = 1
LCM(705,773) = ( 705 × 773 ) / 1
LCM(705,773) = 544965 / 1
LCM(705,773) = 544965
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8073/705, 6993/773
1. What is the HCF of 8073,6993?
The HCF of 8073,6993 is 27
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 8073/705, 6993/773?
Answer: GCF of Numerators as per given numbers 8073/705, 6993/773 is
GCF of Numerators i.e. for 8073,6993 is 27
LCM of denominators i.e. for 705,773 is 544965.
Thus, GCF of Fractions is 27/544965.Finally, GCF of Fractions for 8073/705, 6993/773 is 27/544965.