GCF of 3661/398, 5760/3695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3661/398, 5760/3695 i.e 1/1470610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3661/398, 5760/3695.
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 3661/398,5760/3695?
Given fractions are 3661/398,5760/3695
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 3661/398,5760/3695, numerators are 3661,5760
Denominators are 398,3695
The GCF of 3661,5760 is 1 .
LCM of 398,3695 is 1470610.
The greatest common factor of 3661/398,5760/3695 = [GCF of 3661,5760]/[LCM of 398,3695]= 1/1470610
Therefore, the GCF of 3661/398,5760/3695 is 1/1470610.
To find the highest common factor of 3661,5760, we have to find the factors of both numbers and list the highest common factor.
The factors of 3661 are 1, 7, 523, 3661
The factors of 5760 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760
The HCF of 3661,5760 is 1.
Lets's calculate GCF of 3661,5760
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3661,5760 By Matching Biggest Common Factor Method
Now, list down the factors of 3661
:1,7,523,3661
Now, list down the factors of 5760
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760
Greatest Common Factor
We found the factors 3661,5760 . The biggest common factor number is the GCF number.
So the greatest common factor 3661,5760 is 1.
Lets's calculate LCM of 398,3695
Given numbers has no common factors except 1. So, there LCM is their product i.e 1470610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1470610
Therefore, the GCF of Fractions 3661/398,5760/3695 is 1/1470610
Least Common Multiple of 398,3695 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 398,3695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,3695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(398,3695) x common factors =1 x 1 = 1
LCM(398,3695) = ( 398 × 3695 ) / 1
LCM(398,3695) = 1470610 / 1
LCM(398,3695) = 1470610
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FAQs on GCF of Fractions of 3661/398, 5760/3695
1. What is the HCF of 3661,5760?
The HCF of 3661,5760 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 3661/398, 5760/3695?
Answer: GCF of Numerators as per given numbers 3661/398, 5760/3695 is
GCF of Numerators i.e. for 3661,5760 is 1
LCM of denominators i.e. for 398,3695 is 1470610.
Thus, GCF of Fractions is 1/1470610.Finally, GCF of Fractions for 3661/398, 5760/3695 is 1/1470610.