GCF of 3611/396, 4160/4561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3611/396, 4160/4561 i.e 1/1806156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3611/396, 4160/4561.
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 3611/396,4160/4561?
Given fractions are 3611/396,4160/4561
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 3611/396,4160/4561, numerators are 3611,4160
Denominators are 396,4561
The GCF of 3611,4160 is 1 .
LCM of 396,4561 is 1806156.
The greatest common factor of 3611/396,4160/4561 = [GCF of 3611,4160]/[LCM of 396,4561]= 1/1806156
Therefore, the GCF of 3611/396,4160/4561 is 1/1806156.
To find the highest common factor of 3611,4160, we have to find the factors of both numbers and list the highest common factor.
The factors of 3611 are 1, 23, 157, 3611
The factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160
The HCF of 3611,4160 is 1.
Lets's calculate GCF of 3611,4160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3611,4160 By Matching Biggest Common Factor Method
Now, list down the factors of 3611
:1,23,157,3611
Now, list down the factors of 4160
:1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Greatest Common Factor
We found the factors 3611,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 3611,4160 is 1.
Lets's calculate LCM of 396,4561
Given numbers has no common factors except 1. So, there LCM is their product i.e 1806156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1806156
Therefore, the GCF of Fractions 3611/396,4160/4561 is 1/1806156
Least Common Multiple of 396,4561 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 396,4561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,4561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(396,4561) x common factors =1 x 1 = 1
LCM(396,4561) = ( 396 × 4561 ) / 1
LCM(396,4561) = 1806156 / 1
LCM(396,4561) = 1806156
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FAQs on GCF of Fractions of 3611/396, 4160/4561
1. What is the HCF of 3611,4160?
The HCF of 3611,4160 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 3611/396, 4160/4561?
Answer: GCF of Numerators as per given numbers 3611/396, 4160/4561 is
GCF of Numerators i.e. for 3611,4160 is 1
LCM of denominators i.e. for 396,4561 is 1806156.
Thus, GCF of Fractions is 1/1806156.Finally, GCF of Fractions for 3611/396, 4160/4561 is 1/1806156.