GCF of 8233/26, 5916/604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8233/26, 5916/604 i.e 1/7852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8233/26, 5916/604.
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 8233/26,5916/604?
Given fractions are 8233/26,5916/604
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 8233/26,5916/604, numerators are 8233,5916
Denominators are 26,604
The GCF of 8233,5916 is 1 .
LCM of 26,604 is 7852.
The greatest common factor of 8233/26,5916/604 = [GCF of 8233,5916]/[LCM of 26,604]= 1/7852
Therefore, the GCF of 8233/26,5916/604 is 1/7852.
To find the highest common factor of 8233,5916, we have to find the factors of both numbers and list the highest common factor.
The factors of 8233 are 1, 8233
The factors of 5916 are 1, 2, 3, 4, 6, 12, 17, 29, 34, 51, 58, 68, 87, 102, 116, 174, 204, 348, 493, 986, 1479, 1972, 2958, 5916
The HCF of 8233,5916 is 1.
Lets's calculate GCF of 8233,5916
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8233,5916 By Matching Biggest Common Factor Method
Now, list down the factors of 8233
:1,8233
Now, list down the factors of 5916
:1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916
Greatest Common Factor
We found the factors 8233,5916 . The biggest common factor number is the GCF number.
So the greatest common factor 8233,5916 is 1.
Lets's calculate LCM of 26,604
| 2 | 26, 604 |
| 13, 302 |
∴ So the LCM of the given numbers is 2 x 13 x 302 = 7852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7852
Therefore, the GCF of Fractions 8233/26,5916/604 is 1/7852
Least Common Multiple of 26,604 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 26,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,604) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,604) x common factors =2 x 1 = 2
LCM(26,604) = ( 26 × 604 ) / 2
LCM(26,604) = 15704 / 2
LCM(26,604) = 7852
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FAQs on GCF of Fractions of 8233/26, 5916/604
1. What is the HCF of 8233,5916?
The HCF of 8233,5916 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 8233/26, 5916/604?
Answer: GCF of Numerators as per given numbers 8233/26, 5916/604 is
GCF of Numerators i.e. for 8233,5916 is 1
LCM of denominators i.e. for 26,604 is 7852.
Thus, GCF of Fractions is 1/7852.Finally, GCF of Fractions for 8233/26, 5916/604 is 1/7852.