GCF of 2387/141, 6000/1797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2387/141, 6000/1797 i.e 1/84459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2387/141, 6000/1797.
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 2387/141,6000/1797?
Given fractions are 2387/141,6000/1797
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 2387/141,6000/1797, numerators are 2387,6000
Denominators are 141,1797
The GCF of 2387,6000 is 1 .
LCM of 141,1797 is 84459.
The greatest common factor of 2387/141,6000/1797 = [GCF of 2387,6000]/[LCM of 141,1797]= 1/84459
Therefore, the GCF of 2387/141,6000/1797 is 1/84459.
To find the highest common factor of 2387,6000, we have to find the factors of both numbers and list the highest common factor.
The factors of 2387 are 1, 7, 11, 31, 77, 217, 341, 2387
The factors of 6000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 125, 150, 200, 240, 250, 300, 375, 400, 500, 600, 750, 1000, 1200, 1500, 2000, 3000, 6000
The HCF of 2387,6000 is 1.
Lets's calculate GCF of 2387,6000
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2387,6000 By Matching Biggest Common Factor Method
Now, list down the factors of 2387
:1,7,11,31,77,217,341,2387
Now, list down the factors of 6000
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,125,150,200,240,250,300,375,400,500,600,750,1000,1200,1500,2000,3000,6000
Greatest Common Factor
We found the factors 2387,6000 . The biggest common factor number is the GCF number.
So the greatest common factor 2387,6000 is 1.
Lets's calculate LCM of 141,1797
| 3 | 141, 1797 |
| 47, 599 |
∴ So the LCM of the given numbers is 3 x 47 x 599 = 84459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84459
Therefore, the GCF of Fractions 2387/141,6000/1797 is 1/84459
Least Common Multiple of 141,1797 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 141,1797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,1797) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(141,1797) x common factors =3 x 1 = 3
LCM(141,1797) = ( 141 × 1797 ) / 3
LCM(141,1797) = 253377 / 3
LCM(141,1797) = 84459
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FAQs on GCF of Fractions of 2387/141, 6000/1797
1. What is the HCF of 2387,6000?
The HCF of 2387,6000 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 2387/141, 6000/1797?
Answer: GCF of Numerators as per given numbers 2387/141, 6000/1797 is
GCF of Numerators i.e. for 2387,6000 is 1
LCM of denominators i.e. for 141,1797 is 84459.
Thus, GCF of Fractions is 1/84459.Finally, GCF of Fractions for 2387/141, 6000/1797 is 1/84459.