GCF of 4001/465, 4069/8604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4001/465, 4069/8604 i.e 1/1333620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4001/465, 4069/8604.
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 4001/465,4069/8604?
Given fractions are 4001/465,4069/8604
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 4001/465,4069/8604, numerators are 4001,4069
Denominators are 465,8604
The GCF of 4001,4069 is 1 .
LCM of 465,8604 is 1333620.
The greatest common factor of 4001/465,4069/8604 = [GCF of 4001,4069]/[LCM of 465,8604]= 1/1333620
Therefore, the GCF of 4001/465,4069/8604 is 1/1333620.
To find the highest common factor of 4001,4069, we have to find the factors of both numbers and list the highest common factor.
The factors of 4001 are 1, 4001
The factors of 4069 are 1, 13, 313, 4069
The HCF of 4001,4069 is 1.
Lets's calculate GCF of 4001,4069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4001,4069 By Matching Biggest Common Factor Method
Now, list down the factors of 4001
:1,4001
Now, list down the factors of 4069
:1,13,313,4069
Greatest Common Factor
We found the factors 4001,4069 . The biggest common factor number is the GCF number.
So the greatest common factor 4001,4069 is 1.
Lets's calculate LCM of 465,8604
| 3 | 465, 8604 |
| 155, 2868 |
∴ So the LCM of the given numbers is 3 x 155 x 2868 = 1333620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1333620
Therefore, the GCF of Fractions 4001/465,4069/8604 is 1/1333620
Least Common Multiple of 465,8604 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 465,8604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,8604) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,8604) x common factors =3 x 1 = 3
LCM(465,8604) = ( 465 × 8604 ) / 3
LCM(465,8604) = 4000860 / 3
LCM(465,8604) = 1333620
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FAQs on GCF of Fractions of 4001/465, 4069/8604
1. What is the HCF of 4001,4069?
The HCF of 4001,4069 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 4001/465, 4069/8604?
Answer: GCF of Numerators as per given numbers 4001/465, 4069/8604 is
GCF of Numerators i.e. for 4001,4069 is 1
LCM of denominators i.e. for 465,8604 is 1333620.
Thus, GCF of Fractions is 1/1333620.Finally, GCF of Fractions for 4001/465, 4069/8604 is 1/1333620.