GCF of 4005/104, 1036/621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4005/104, 1036/621 i.e 1/64584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4005/104, 1036/621.
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 4005/104,1036/621?
Given fractions are 4005/104,1036/621
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 4005/104,1036/621, numerators are 4005,1036
Denominators are 104,621
The GCF of 4005,1036 is 1 .
LCM of 104,621 is 64584.
The greatest common factor of 4005/104,1036/621 = [GCF of 4005,1036]/[LCM of 104,621]= 1/64584
Therefore, the GCF of 4005/104,1036/621 is 1/64584.
To find the highest common factor of 4005,1036, we have to find the factors of both numbers and list the highest common factor.
The factors of 4005 are 1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335, 4005
The factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036
The HCF of 4005,1036 is 1.
Lets's calculate GCF of 4005,1036
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4005,1036 By Matching Biggest Common Factor Method
Now, list down the factors of 4005
:1,3,5,9,15,45,89,267,445,801,1335,4005
Now, list down the factors of 1036
:1,2,4,7,14,28,37,74,148,259,518,1036
Greatest Common Factor
We found the factors 4005,1036 . The biggest common factor number is the GCF number.
So the greatest common factor 4005,1036 is 1.
Lets's calculate LCM of 104,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 64584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64584
Therefore, the GCF of Fractions 4005/104,1036/621 is 1/64584
Least Common Multiple of 104,621 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 104,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,621) x common factors =1 x 1 = 1
LCM(104,621) = ( 104 × 621 ) / 1
LCM(104,621) = 64584 / 1
LCM(104,621) = 64584
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FAQs on GCF of Fractions of 4005/104, 1036/621
1. What is the HCF of 4005,1036?
The HCF of 4005,1036 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 4005/104, 1036/621?
Answer: GCF of Numerators as per given numbers 4005/104, 1036/621 is
GCF of Numerators i.e. for 4005,1036 is 1
LCM of denominators i.e. for 104,621 is 64584.
Thus, GCF of Fractions is 1/64584.Finally, GCF of Fractions for 4005/104, 1036/621 is 1/64584.