GCF of 824/933, 848/471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 824/933, 848/471 i.e 8/146481 easily. The following is the detailed procedure to determine the greatest common factor of fractions 824/933, 848/471.
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 824/933,848/471?
Given fractions are 824/933,848/471
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 824/933,848/471, numerators are 824,848
Denominators are 933,471
The GCF of 824,848 is 8 .
LCM of 933,471 is 146481.
The greatest common factor of 824/933,848/471 = [GCF of 824,848]/[LCM of 933,471]= 8/146481
Therefore, the GCF of 824/933,848/471 is 8/146481.
To find the highest common factor of 824,848, we have to find the factors of both numbers and list the highest common factor.
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The HCF of 824,848 is 8.
Lets's calculate GCF of 824,848
| 2 | 824, 848 |
| 2 | 412, 424 |
| 2 | 206, 212 |
| 103, 106 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 824,848 By Matching Biggest Common Factor Method
Now, list down the factors of 824
:1,2,4,8,103,206,412,824
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 824,848 . The biggest common factor number is the GCF number.
So the greatest common factor 824,848 is 8.
Lets's calculate LCM of 933,471
| 3 | 933, 471 |
| 311, 157 |
∴ So the LCM of the given numbers is 3 x 311 x 157 = 146481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/146481
Therefore, the GCF of Fractions 824/933,848/471 is 8/146481
Least Common Multiple of 933,471 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 933,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,471) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,471) x common factors =3 x 1 = 3
LCM(933,471) = ( 933 × 471 ) / 3
LCM(933,471) = 439443 / 3
LCM(933,471) = 146481
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FAQs on GCF of Fractions of 824/933, 848/471
1. What is the HCF of 824,848?
The HCF of 824,848 is 8
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 824/933, 848/471?
Answer: GCF of Numerators as per given numbers 824/933, 848/471 is
GCF of Numerators i.e. for 824,848 is 8
LCM of denominators i.e. for 933,471 is 146481.
Thus, GCF of Fractions is 8/146481.Finally, GCF of Fractions for 824/933, 848/471 is 8/146481.