GCF of 9423/284, 1663/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9423/284, 1663/584 i.e 1/41464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9423/284, 1663/584.
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 9423/284,1663/584?
Given fractions are 9423/284,1663/584
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 9423/284,1663/584, numerators are 9423,1663
Denominators are 284,584
The GCF of 9423,1663 is 1 .
LCM of 284,584 is 41464.
The greatest common factor of 9423/284,1663/584 = [GCF of 9423,1663]/[LCM of 284,584]= 1/41464
Therefore, the GCF of 9423/284,1663/584 is 1/41464.
To find the highest common factor of 9423,1663, we have to find the factors of both numbers and list the highest common factor.
The factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423
The factors of 1663 are 1, 1663
The HCF of 9423,1663 is 1.
Lets's calculate GCF of 9423,1663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9423,1663 By Matching Biggest Common Factor Method
Now, list down the factors of 9423
:1,3,9,27,349,1047,3141,9423
Now, list down the factors of 1663
:1,1663
Greatest Common Factor
We found the factors 9423,1663 . The biggest common factor number is the GCF number.
So the greatest common factor 9423,1663 is 1.
Lets's calculate LCM of 284,584
| 2 | 284, 584 |
| 2 | 142, 292 |
| 71, 146 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 146 = 41464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41464
Therefore, the GCF of Fractions 9423/284,1663/584 is 1/41464
Least Common Multiple of 284,584 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 284,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,584) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,584) x common factors =4 x 1 = 4
LCM(284,584) = ( 284 × 584 ) / 4
LCM(284,584) = 165856 / 4
LCM(284,584) = 41464
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FAQs on GCF of Fractions of 9423/284, 1663/584
1. What is the HCF of 9423,1663?
The HCF of 9423,1663 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 9423/284, 1663/584?
Answer: GCF of Numerators as per given numbers 9423/284, 1663/584 is
GCF of Numerators i.e. for 9423,1663 is 1
LCM of denominators i.e. for 284,584 is 41464.
Thus, GCF of Fractions is 1/41464.Finally, GCF of Fractions for 9423/284, 1663/584 is 1/41464.