GCF of 8901/464, 9003/5671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8901/464, 9003/5671 i.e 3/2631344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8901/464, 9003/5671.
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 8901/464,9003/5671?
Given fractions are 8901/464,9003/5671
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 8901/464,9003/5671, numerators are 8901,9003
Denominators are 464,5671
The GCF of 8901,9003 is 3 .
LCM of 464,5671 is 2631344.
The greatest common factor of 8901/464,9003/5671 = [GCF of 8901,9003]/[LCM of 464,5671]= 3/2631344
Therefore, the GCF of 8901/464,9003/5671 is 3/2631344.
To find the highest common factor of 8901,9003, we have to find the factors of both numbers and list the highest common factor.
The factors of 8901 are 1, 3, 9, 23, 43, 69, 129, 207, 387, 989, 2967, 8901
The factors of 9003 are 1, 3, 3001, 9003
The HCF of 8901,9003 is 3.
Lets's calculate GCF of 8901,9003
| 3 | 8901, 9003 |
| 2967, 3001 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8901,9003 By Matching Biggest Common Factor Method
Now, list down the factors of 8901
:1,3,9,23,43,69,129,207,387,989,2967,8901
Now, list down the factors of 9003
:1,3,3001,9003
Greatest Common Factor
We found the factors 8901,9003 . The biggest common factor number is the GCF number.
So the greatest common factor 8901,9003 is 3.
Lets's calculate LCM of 464,5671
Given numbers has no common factors except 1. So, there LCM is their product i.e 2631344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2631344
Therefore, the GCF of Fractions 8901/464,9003/5671 is 3/2631344
Least Common Multiple of 464,5671 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 464,5671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,5671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,5671) x common factors =1 x 1 = 1
LCM(464,5671) = ( 464 × 5671 ) / 1
LCM(464,5671) = 2631344 / 1
LCM(464,5671) = 2631344
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FAQs on GCF of Fractions of 8901/464, 9003/5671
1. What is the HCF of 8901,9003?
The HCF of 8901,9003 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 8901/464, 9003/5671?
Answer: GCF of Numerators as per given numbers 8901/464, 9003/5671 is
GCF of Numerators i.e. for 8901,9003 is 3
LCM of denominators i.e. for 464,5671 is 2631344.
Thus, GCF of Fractions is 3/2631344.Finally, GCF of Fractions for 8901/464, 9003/5671 is 3/2631344.