GCF of 3639/184, 4003/8061
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3639/184, 4003/8061 i.e 1/1483224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3639/184, 4003/8061.
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 3639/184,4003/8061?
Given fractions are 3639/184,4003/8061
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 3639/184,4003/8061, numerators are 3639,4003
Denominators are 184,8061
The GCF of 3639,4003 is 1 .
LCM of 184,8061 is 1483224.
The greatest common factor of 3639/184,4003/8061 = [GCF of 3639,4003]/[LCM of 184,8061]= 1/1483224
Therefore, the GCF of 3639/184,4003/8061 is 1/1483224.
To find the highest common factor of 3639,4003, we have to find the factors of both numbers and list the highest common factor.
The factors of 3639 are 1, 3, 1213, 3639
The factors of 4003 are 1, 4003
The HCF of 3639,4003 is 1.
Lets's calculate GCF of 3639,4003
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3639,4003 By Matching Biggest Common Factor Method
Now, list down the factors of 3639
:1,3,1213,3639
Now, list down the factors of 4003
:1,4003
Greatest Common Factor
We found the factors 3639,4003 . The biggest common factor number is the GCF number.
So the greatest common factor 3639,4003 is 1.
Lets's calculate LCM of 184,8061
Given numbers has no common factors except 1. So, there LCM is their product i.e 1483224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1483224
Therefore, the GCF of Fractions 3639/184,4003/8061 is 1/1483224
Least Common Multiple of 184,8061 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 184,8061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,8061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,8061) x common factors =1 x 1 = 1
LCM(184,8061) = ( 184 × 8061 ) / 1
LCM(184,8061) = 1483224 / 1
LCM(184,8061) = 1483224
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FAQs on GCF of Fractions of 3639/184, 4003/8061
1. What is the HCF of 3639,4003?
The HCF of 3639,4003 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 3639/184, 4003/8061?
Answer: GCF of Numerators as per given numbers 3639/184, 4003/8061 is
GCF of Numerators i.e. for 3639,4003 is 1
LCM of denominators i.e. for 184,8061 is 1483224.
Thus, GCF of Fractions is 1/1483224.Finally, GCF of Fractions for 3639/184, 4003/8061 is 1/1483224.