GCF of 5823/814, 7267/2268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5823/814, 7267/2268 i.e 1/923076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5823/814, 7267/2268.
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 5823/814,7267/2268?
Given fractions are 5823/814,7267/2268
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 5823/814,7267/2268, numerators are 5823,7267
Denominators are 814,2268
The GCF of 5823,7267 is 1 .
LCM of 814,2268 is 923076.
The greatest common factor of 5823/814,7267/2268 = [GCF of 5823,7267]/[LCM of 814,2268]= 1/923076
Therefore, the GCF of 5823/814,7267/2268 is 1/923076.
To find the highest common factor of 5823,7267, we have to find the factors of both numbers and list the highest common factor.
The factors of 5823 are 1, 3, 9, 647, 1941, 5823
The factors of 7267 are 1, 13, 43, 169, 559, 7267
The HCF of 5823,7267 is 1.
Lets's calculate GCF of 5823,7267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5823,7267 By Matching Biggest Common Factor Method
Now, list down the factors of 5823
:1,3,9,647,1941,5823
Now, list down the factors of 7267
:1,13,43,169,559,7267
Greatest Common Factor
We found the factors 5823,7267 . The biggest common factor number is the GCF number.
So the greatest common factor 5823,7267 is 1.
Lets's calculate LCM of 814,2268
| 2 | 814, 2268 |
| 407, 1134 |
∴ So the LCM of the given numbers is 2 x 407 x 1134 = 923076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/923076
Therefore, the GCF of Fractions 5823/814,7267/2268 is 1/923076
Least Common Multiple of 814,2268 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 814,2268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,2268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,2268) x common factors =2 x 1 = 2
LCM(814,2268) = ( 814 × 2268 ) / 2
LCM(814,2268) = 1846152 / 2
LCM(814,2268) = 923076
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5823/814, 7267/2268
1. What is the HCF of 5823,7267?
The HCF of 5823,7267 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 5823/814, 7267/2268?
Answer: GCF of Numerators as per given numbers 5823/814, 7267/2268 is
GCF of Numerators i.e. for 5823,7267 is 1
LCM of denominators i.e. for 814,2268 is 923076.
Thus, GCF of Fractions is 1/923076.Finally, GCF of Fractions for 5823/814, 7267/2268 is 1/923076.