GCF of 9644/476, 2806/323
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9644/476, 2806/323 i.e 2/9044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9644/476, 2806/323.
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 9644/476,2806/323?
Given fractions are 9644/476,2806/323
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 9644/476,2806/323, numerators are 9644,2806
Denominators are 476,323
The GCF of 9644,2806 is 2 .
LCM of 476,323 is 9044.
The greatest common factor of 9644/476,2806/323 = [GCF of 9644,2806]/[LCM of 476,323]= 2/9044
Therefore, the GCF of 9644/476,2806/323 is 2/9044.
To find the highest common factor of 9644,2806, we have to find the factors of both numbers and list the highest common factor.
The factors of 9644 are 1, 2, 4, 2411, 4822, 9644
The factors of 2806 are 1, 2, 23, 46, 61, 122, 1403, 2806
The HCF of 9644,2806 is 2.
Lets's calculate GCF of 9644,2806
| 2 | 9644, 2806 |
| 4822, 1403 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9644,2806 By Matching Biggest Common Factor Method
Now, list down the factors of 9644
:1,2,4,2411,4822,9644
Now, list down the factors of 2806
:1,2,23,46,61,122,1403,2806
Greatest Common Factor
We found the factors 9644,2806 . The biggest common factor number is the GCF number.
So the greatest common factor 9644,2806 is 2.
Lets's calculate LCM of 476,323
| 17 | 476, 323 |
| 28, 19 |
∴ So the LCM of the given numbers is 17 x 28 x 19 = 9044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9044
Therefore, the GCF of Fractions 9644/476,2806/323 is 2/9044
Least Common Multiple of 476,323 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 476,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,323) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(476,323) x common factors =17 x 1 = 17
LCM(476,323) = ( 476 × 323 ) / 17
LCM(476,323) = 153748 / 17
LCM(476,323) = 9044
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FAQs on GCF of Fractions of 9644/476, 2806/323
1. What is the HCF of 9644,2806?
The HCF of 9644,2806 is 2
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 9644/476, 2806/323?
Answer: GCF of Numerators as per given numbers 9644/476, 2806/323 is
GCF of Numerators i.e. for 9644,2806 is 2
LCM of denominators i.e. for 476,323 is 9044.
Thus, GCF of Fractions is 2/9044.Finally, GCF of Fractions for 9644/476, 2806/323 is 2/9044.