GCF of 2227/838, 5423/9296
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2227/838, 5423/9296 i.e 17/3895024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2227/838, 5423/9296.
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 2227/838,5423/9296?
Given fractions are 2227/838,5423/9296
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 2227/838,5423/9296, numerators are 2227,5423
Denominators are 838,9296
The GCF of 2227,5423 is 17 .
LCM of 838,9296 is 3895024.
The greatest common factor of 2227/838,5423/9296 = [GCF of 2227,5423]/[LCM of 838,9296]= 17/3895024
Therefore, the GCF of 2227/838,5423/9296 is 17/3895024.
To find the highest common factor of 2227,5423, we have to find the factors of both numbers and list the highest common factor.
The factors of 2227 are 1, 17, 131, 2227
The factors of 5423 are 1, 11, 17, 29, 187, 319, 493, 5423
The HCF of 2227,5423 is 17.
Lets's calculate GCF of 2227,5423
| 17 | 2227, 5423 |
| 131, 319 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2227,5423 By Matching Biggest Common Factor Method
Now, list down the factors of 2227
:1,17,131,2227
Now, list down the factors of 5423
:1,11,17,29,187,319,493,5423
Greatest Common Factor
We found the factors 2227,5423 . The biggest common factor number is the GCF number.
So the greatest common factor 2227,5423 is 17.
Lets's calculate LCM of 838,9296
| 2 | 838, 9296 |
| 419, 4648 |
∴ So the LCM of the given numbers is 2 x 419 x 4648 = 3895024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3895024
Therefore, the GCF of Fractions 2227/838,5423/9296 is 17/3895024
Least Common Multiple of 838,9296 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 838,9296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,9296) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,9296) x common factors =2 x 1 = 2
LCM(838,9296) = ( 838 × 9296 ) / 2
LCM(838,9296) = 7790048 / 2
LCM(838,9296) = 3895024
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2227/838, 5423/9296
1. What is the HCF of 2227,5423?
The HCF of 2227,5423 is 17
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 2227/838, 5423/9296?
Answer: GCF of Numerators as per given numbers 2227/838, 5423/9296 is
GCF of Numerators i.e. for 2227,5423 is 17
LCM of denominators i.e. for 838,9296 is 3895024.
Thus, GCF of Fractions is 17/3895024.Finally, GCF of Fractions for 2227/838, 5423/9296 is 17/3895024.