GCF of 9004/561, 8032/7418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9004/561, 8032/7418 i.e 4/4161498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9004/561, 8032/7418.
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 9004/561,8032/7418?
Given fractions are 9004/561,8032/7418
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 9004/561,8032/7418, numerators are 9004,8032
Denominators are 561,7418
The GCF of 9004,8032 is 4 .
LCM of 561,7418 is 4161498.
The greatest common factor of 9004/561,8032/7418 = [GCF of 9004,8032]/[LCM of 561,7418]= 4/4161498
Therefore, the GCF of 9004/561,8032/7418 is 4/4161498.
To find the highest common factor of 9004,8032, we have to find the factors of both numbers and list the highest common factor.
The factors of 9004 are 1, 2, 4, 2251, 4502, 9004
The factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032
The HCF of 9004,8032 is 4.
Lets's calculate GCF of 9004,8032
| 2 | 9004, 8032 |
| 2 | 4502, 4016 |
| 2251, 2008 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9004,8032 By Matching Biggest Common Factor Method
Now, list down the factors of 9004
:1,2,4,2251,4502,9004
Now, list down the factors of 8032
:1,2,4,8,16,32,251,502,1004,2008,4016,8032
Greatest Common Factor
We found the factors 9004,8032 . The biggest common factor number is the GCF number.
So the greatest common factor 9004,8032 is 4.
Lets's calculate LCM of 561,7418
Given numbers has no common factors except 1. So, there LCM is their product i.e 4161498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4161498
Therefore, the GCF of Fractions 9004/561,8032/7418 is 4/4161498
Least Common Multiple of 561,7418 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 561,7418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,7418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,7418) x common factors =1 x 1 = 1
LCM(561,7418) = ( 561 × 7418 ) / 1
LCM(561,7418) = 4161498 / 1
LCM(561,7418) = 4161498
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FAQs on GCF of Fractions of 9004/561, 8032/7418
1. What is the HCF of 9004,8032?
The HCF of 9004,8032 is 4
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 9004/561, 8032/7418?
Answer: GCF of Numerators as per given numbers 9004/561, 8032/7418 is
GCF of Numerators i.e. for 9004,8032 is 4
LCM of denominators i.e. for 561,7418 is 4161498.
Thus, GCF of Fractions is 4/4161498.Finally, GCF of Fractions for 9004/561, 8032/7418 is 4/4161498.