GCF of 8233/885, 7822/205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8233/885, 7822/205 i.e 1/36285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8233/885, 7822/205.
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 8233/885,7822/205?
Given fractions are 8233/885,7822/205
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 8233/885,7822/205, numerators are 8233,7822
Denominators are 885,205
The GCF of 8233,7822 is 1 .
LCM of 885,205 is 36285.
The greatest common factor of 8233/885,7822/205 = [GCF of 8233,7822]/[LCM of 885,205]= 1/36285
Therefore, the GCF of 8233/885,7822/205 is 1/36285.
To find the highest common factor of 8233,7822, 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 7822 are 1, 2, 3911, 7822
The HCF of 8233,7822 is 1.
Lets's calculate GCF of 8233,7822
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8233,7822 By Matching Biggest Common Factor Method
Now, list down the factors of 8233
:1,8233
Now, list down the factors of 7822
:1,2,3911,7822
Greatest Common Factor
We found the factors 8233,7822 . The biggest common factor number is the GCF number.
So the greatest common factor 8233,7822 is 1.
Lets's calculate LCM of 885,205
| 5 | 885, 205 |
| 177, 41 |
∴ So the LCM of the given numbers is 5 x 177 x 41 = 36285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36285
Therefore, the GCF of Fractions 8233/885,7822/205 is 1/36285
Least Common Multiple of 885,205 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 885,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,205) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(885,205) x common factors =5 x 1 = 5
LCM(885,205) = ( 885 × 205 ) / 5
LCM(885,205) = 181425 / 5
LCM(885,205) = 36285
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FAQs on GCF of Fractions of 8233/885, 7822/205
1. What is the HCF of 8233,7822?
The HCF of 8233,7822 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 8233/885, 7822/205?
Answer: GCF of Numerators as per given numbers 8233/885, 7822/205 is
GCF of Numerators i.e. for 8233,7822 is 1
LCM of denominators i.e. for 885,205 is 36285.
Thus, GCF of Fractions is 1/36285.Finally, GCF of Fractions for 8233/885, 7822/205 is 1/36285.