GCF of 5838/462, 8233/7432
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5838/462, 8233/7432 i.e 1/1716792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5838/462, 8233/7432.
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 5838/462,8233/7432?
Given fractions are 5838/462,8233/7432
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 5838/462,8233/7432, numerators are 5838,8233
Denominators are 462,7432
The GCF of 5838,8233 is 1 .
LCM of 462,7432 is 1716792.
The greatest common factor of 5838/462,8233/7432 = [GCF of 5838,8233]/[LCM of 462,7432]= 1/1716792
Therefore, the GCF of 5838/462,8233/7432 is 1/1716792.
To find the highest common factor of 5838,8233, we have to find the factors of both numbers and list the highest common factor.
The factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838
The factors of 8233 are 1, 8233
The HCF of 5838,8233 is 1.
Lets's calculate GCF of 5838,8233
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5838,8233 By Matching Biggest Common Factor Method
Now, list down the factors of 5838
:1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838
Now, list down the factors of 8233
:1,8233
Greatest Common Factor
We found the factors 5838,8233 . The biggest common factor number is the GCF number.
So the greatest common factor 5838,8233 is 1.
Lets's calculate LCM of 462,7432
| 2 | 462, 7432 |
| 231, 3716 |
∴ So the LCM of the given numbers is 2 x 231 x 3716 = 1716792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1716792
Therefore, the GCF of Fractions 5838/462,8233/7432 is 1/1716792
Least Common Multiple of 462,7432 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 462,7432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,7432) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(462,7432) x common factors =2 x 1 = 2
LCM(462,7432) = ( 462 × 7432 ) / 2
LCM(462,7432) = 3433584 / 2
LCM(462,7432) = 1716792
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FAQs on GCF of Fractions of 5838/462, 8233/7432
1. What is the HCF of 5838,8233?
The HCF of 5838,8233 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 5838/462, 8233/7432?
Answer: GCF of Numerators as per given numbers 5838/462, 8233/7432 is
GCF of Numerators i.e. for 5838,8233 is 1
LCM of denominators i.e. for 462,7432 is 1716792.
Thus, GCF of Fractions is 1/1716792.Finally, GCF of Fractions for 5838/462, 8233/7432 is 1/1716792.