GCF of 7299/312, 1343/923
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7299/312, 1343/923 i.e 1/22152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7299/312, 1343/923.
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 7299/312,1343/923?
Given fractions are 7299/312,1343/923
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 7299/312,1343/923, numerators are 7299,1343
Denominators are 312,923
The GCF of 7299,1343 is 1 .
LCM of 312,923 is 22152.
The greatest common factor of 7299/312,1343/923 = [GCF of 7299,1343]/[LCM of 312,923]= 1/22152
Therefore, the GCF of 7299/312,1343/923 is 1/22152.
To find the highest common factor of 7299,1343, we have to find the factors of both numbers and list the highest common factor.
The factors of 7299 are 1, 3, 9, 811, 2433, 7299
The factors of 1343 are 1, 17, 79, 1343
The HCF of 7299,1343 is 1.
Lets's calculate GCF of 7299,1343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7299,1343 By Matching Biggest Common Factor Method
Now, list down the factors of 7299
:1,3,9,811,2433,7299
Now, list down the factors of 1343
:1,17,79,1343
Greatest Common Factor
We found the factors 7299,1343 . The biggest common factor number is the GCF number.
So the greatest common factor 7299,1343 is 1.
Lets's calculate LCM of 312,923
| 13 | 312, 923 |
| 24, 71 |
∴ So the LCM of the given numbers is 13 x 24 x 71 = 22152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22152
Therefore, the GCF of Fractions 7299/312,1343/923 is 1/22152
Least Common Multiple of 312,923 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 312,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,923) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(312,923) x common factors =13 x 1 = 13
LCM(312,923) = ( 312 × 923 ) / 13
LCM(312,923) = 287976 / 13
LCM(312,923) = 22152
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7299/312, 1343/923
1. What is the HCF of 7299,1343?
The HCF of 7299,1343 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 7299/312, 1343/923?
Answer: GCF of Numerators as per given numbers 7299/312, 1343/923 is
GCF of Numerators i.e. for 7299,1343 is 1
LCM of denominators i.e. for 312,923 is 22152.
Thus, GCF of Fractions is 1/22152.Finally, GCF of Fractions for 7299/312, 1343/923 is 1/22152.