GCF of 813/917, 3093/593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 813/917, 3093/593 i.e 3/543781 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/917, 3093/593.
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 813/917,3093/593?
Given fractions are 813/917,3093/593
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 813/917,3093/593, numerators are 813,3093
Denominators are 917,593
The GCF of 813,3093 is 3 .
LCM of 917,593 is 543781.
The greatest common factor of 813/917,3093/593 = [GCF of 813,3093]/[LCM of 917,593]= 3/543781
Therefore, the GCF of 813/917,3093/593 is 3/543781.
To find the highest common factor of 813,3093, we have to find the factors of both numbers and list the highest common factor.
The factors of 813 are 1, 3, 271, 813
The factors of 3093 are 1, 3, 1031, 3093
The HCF of 813,3093 is 3.
Lets's calculate GCF of 813,3093
| 3 | 813, 3093 |
| 271, 1031 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 813,3093 By Matching Biggest Common Factor Method
Now, list down the factors of 813
:1,3,271,813
Now, list down the factors of 3093
:1,3,1031,3093
Greatest Common Factor
We found the factors 813,3093 . The biggest common factor number is the GCF number.
So the greatest common factor 813,3093 is 3.
Lets's calculate LCM of 917,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 543781
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/543781
Therefore, the GCF of Fractions 813/917,3093/593 is 3/543781
Least Common Multiple of 917,593 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 917,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,593) x common factors =1 x 1 = 1
LCM(917,593) = ( 917 × 593 ) / 1
LCM(917,593) = 543781 / 1
LCM(917,593) = 543781
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 813/917, 3093/593
1. What is the HCF of 813,3093?
The HCF of 813,3093 is 3
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 813/917, 3093/593?
Answer: GCF of Numerators as per given numbers 813/917, 3093/593 is
GCF of Numerators i.e. for 813,3093 is 3
LCM of denominators i.e. for 917,593 is 543781.
Thus, GCF of Fractions is 3/543781.Finally, GCF of Fractions for 813/917, 3093/593 is 3/543781.