GCF of 825/99, 663/843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 825/99, 663/843 i.e 3/27819 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/99, 663/843.
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 825/99,663/843?
Given fractions are 825/99,663/843
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 825/99,663/843, numerators are 825,663
Denominators are 99,843
The GCF of 825,663 is 3 .
LCM of 99,843 is 27819.
The greatest common factor of 825/99,663/843 = [GCF of 825,663]/[LCM of 99,843]= 3/27819
Therefore, the GCF of 825/99,663/843 is 3/27819.
To find the highest common factor of 825,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 825,663 is 3.
Lets's calculate GCF of 825,663
| 3 | 825, 663 |
| 275, 221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 825,663 By Matching Biggest Common Factor Method
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 825,663 . The biggest common factor number is the GCF number.
So the greatest common factor 825,663 is 3.
Lets's calculate LCM of 99,843
| 3 | 99, 843 |
| 33, 281 |
∴ So the LCM of the given numbers is 3 x 33 x 281 = 27819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27819
Therefore, the GCF of Fractions 825/99,663/843 is 3/27819
Least Common Multiple of 99,843 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 99,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,843) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(99,843) x common factors =3 x 1 = 3
LCM(99,843) = ( 99 × 843 ) / 3
LCM(99,843) = 83457 / 3
LCM(99,843) = 27819
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FAQs on GCF of Fractions of 825/99, 663/843
1. What is the HCF of 825,663?
The HCF of 825,663 is 3
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 825/99, 663/843?
Answer: GCF of Numerators as per given numbers 825/99, 663/843 is
GCF of Numerators i.e. for 825,663 is 3
LCM of denominators i.e. for 99,843 is 27819.
Thus, GCF of Fractions is 3/27819.Finally, GCF of Fractions for 825/99, 663/843 is 3/27819.