GCF of 5000/404, 3600/2971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5000/404, 3600/2971 i.e 200/1200284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5000/404, 3600/2971.
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 5000/404,3600/2971?
Given fractions are 5000/404,3600/2971
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 5000/404,3600/2971, numerators are 5000,3600
Denominators are 404,2971
The GCF of 5000,3600 is 200 .
LCM of 404,2971 is 1200284.
The greatest common factor of 5000/404,3600/2971 = [GCF of 5000,3600]/[LCM of 404,2971]= 200/1200284
Therefore, the GCF of 5000/404,3600/2971 is 200/1200284.
To find the highest common factor of 5000,3600, we have to find the factors of both numbers and list the highest common factor.
The factors of 5000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500, 5000
The factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600
The HCF of 5000,3600 is 200.
Lets's calculate GCF of 5000,3600
| 2 | 5000, 3600 |
| 2 | 2500, 1800 |
| 2 | 1250, 900 |
| 5 | 625, 450 |
| 5 | 125, 90 |
| 25, 18 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 x 5 = 200
Greatest Common Factor of 5000,3600 By Matching Biggest Common Factor Method
Now, list down the factors of 5000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000
Now, list down the factors of 3600
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600
Greatest Common Factor
We found the factors 5000,3600 . The biggest common factor number is the GCF number.
So the greatest common factor 5000,3600 is 200.
Lets's calculate LCM of 404,2971
Given numbers has no common factors except 1. So, there LCM is their product i.e 1200284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 200/1200284
Therefore, the GCF of Fractions 5000/404,3600/2971 is 200/1200284
Least Common Multiple of 404,2971 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 404,2971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,2971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,2971) x common factors =1 x 1 = 1
LCM(404,2971) = ( 404 × 2971 ) / 1
LCM(404,2971) = 1200284 / 1
LCM(404,2971) = 1200284
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FAQs on GCF of Fractions of 5000/404, 3600/2971
1. What is the HCF of 5000,3600?
The HCF of 5000,3600 is 200
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 5000/404, 3600/2971?
Answer: GCF of Numerators as per given numbers 5000/404, 3600/2971 is
GCF of Numerators i.e. for 5000,3600 is 200
LCM of denominators i.e. for 404,2971 is 1200284.
Thus, GCF of Fractions is 200/1200284.Finally, GCF of Fractions for 5000/404, 3600/2971 is 200/1200284.