GCF of 9404/596, 9254/1536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9404/596, 9254/1536 i.e 2/228864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9404/596, 9254/1536.
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 9404/596,9254/1536?
Given fractions are 9404/596,9254/1536
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 9404/596,9254/1536, numerators are 9404,9254
Denominators are 596,1536
The GCF of 9404,9254 is 2 .
LCM of 596,1536 is 228864.
The greatest common factor of 9404/596,9254/1536 = [GCF of 9404,9254]/[LCM of 596,1536]= 2/228864
Therefore, the GCF of 9404/596,9254/1536 is 2/228864.
To find the highest common factor of 9404,9254, we have to find the factors of both numbers and list the highest common factor.
The factors of 9404 are 1, 2, 4, 2351, 4702, 9404
The factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254
The HCF of 9404,9254 is 2.
Lets's calculate GCF of 9404,9254
| 2 | 9404, 9254 |
| 4702, 4627 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9404,9254 By Matching Biggest Common Factor Method
Now, list down the factors of 9404
:1,2,4,2351,4702,9404
Now, list down the factors of 9254
:1,2,7,14,661,1322,4627,9254
Greatest Common Factor
We found the factors 9404,9254 . The biggest common factor number is the GCF number.
So the greatest common factor 9404,9254 is 2.
Lets's calculate LCM of 596,1536
| 2 | 596, 1536 |
| 2 | 298, 768 |
| 149, 384 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 384 = 228864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228864
Therefore, the GCF of Fractions 9404/596,9254/1536 is 2/228864
Least Common Multiple of 596,1536 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 596,1536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,1536) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(596,1536) x common factors =4 x 1 = 4
LCM(596,1536) = ( 596 × 1536 ) / 4
LCM(596,1536) = 915456 / 4
LCM(596,1536) = 228864
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FAQs on GCF of Fractions of 9404/596, 9254/1536
1. What is the HCF of 9404,9254?
The HCF of 9404,9254 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 9404/596, 9254/1536?
Answer: GCF of Numerators as per given numbers 9404/596, 9254/1536 is
GCF of Numerators i.e. for 9404,9254 is 2
LCM of denominators i.e. for 596,1536 is 228864.
Thus, GCF of Fractions is 2/228864.Finally, GCF of Fractions for 9404/596, 9254/1536 is 2/228864.