GCF of 393/65, 773/9287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 393/65, 773/9287 i.e 1/603655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 393/65, 773/9287.
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 393/65,773/9287?
Given fractions are 393/65,773/9287
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 393/65,773/9287, numerators are 393,773
Denominators are 65,9287
The GCF of 393,773 is 1 .
LCM of 65,9287 is 603655.
The greatest common factor of 393/65,773/9287 = [GCF of 393,773]/[LCM of 65,9287]= 1/603655
Therefore, the GCF of 393/65,773/9287 is 1/603655.
To find the highest common factor of 393,773, we have to find the factors of both numbers and list the highest common factor.
The factors of 393 are 1, 3, 131, 393
The factors of 773 are 1, 773
The HCF of 393,773 is 1.
Lets's calculate GCF of 393,773
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 393,773 By Matching Biggest Common Factor Method
Now, list down the factors of 393
:1,3,131,393
Now, list down the factors of 773
:1,773
Greatest Common Factor
We found the factors 393,773 . The biggest common factor number is the GCF number.
So the greatest common factor 393,773 is 1.
Lets's calculate LCM of 65,9287
Given numbers has no common factors except 1. So, there LCM is their product i.e 603655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/603655
Therefore, the GCF of Fractions 393/65,773/9287 is 1/603655
Least Common Multiple of 65,9287 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 65,9287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,9287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,9287) x common factors =1 x 1 = 1
LCM(65,9287) = ( 65 × 9287 ) / 1
LCM(65,9287) = 603655 / 1
LCM(65,9287) = 603655
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 393/65, 773/9287
1. What is the HCF of 393,773?
The HCF of 393,773 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 393/65, 773/9287?
Answer: GCF of Numerators as per given numbers 393/65, 773/9287 is
GCF of Numerators i.e. for 393,773 is 1
LCM of denominators i.e. for 65,9287 is 603655.
Thus, GCF of Fractions is 1/603655.Finally, GCF of Fractions for 393/65, 773/9287 is 1/603655.