GCF of 2400/227, 1755/2293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2400/227, 1755/2293 i.e 15/520511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2400/227, 1755/2293.
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 2400/227,1755/2293?
Given fractions are 2400/227,1755/2293
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 2400/227,1755/2293, numerators are 2400,1755
Denominators are 227,2293
The GCF of 2400,1755 is 15 .
LCM of 227,2293 is 520511.
The greatest common factor of 2400/227,1755/2293 = [GCF of 2400,1755]/[LCM of 227,2293]= 15/520511
Therefore, the GCF of 2400/227,1755/2293 is 15/520511.
To find the highest common factor of 2400,1755, we have to find the factors of both numbers and list the highest common factor.
The factors of 2400 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 75, 80, 96, 100, 120, 150, 160, 200, 240, 300, 400, 480, 600, 800, 1200, 2400
The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
The HCF of 2400,1755 is 15.
Lets's calculate GCF of 2400,1755
| 3 | 2400, 1755 |
| 5 | 800, 585 |
| 160, 117 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 2400,1755 By Matching Biggest Common Factor Method
Now, list down the factors of 2400
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400
Now, list down the factors of 1755
:1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Greatest Common Factor
We found the factors 2400,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 2400,1755 is 15.
Lets's calculate LCM of 227,2293
Given numbers has no common factors except 1. So, there LCM is their product i.e 520511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/520511
Therefore, the GCF of Fractions 2400/227,1755/2293 is 15/520511
Least Common Multiple of 227,2293 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 227,2293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,2293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,2293) x common factors =1 x 1 = 1
LCM(227,2293) = ( 227 × 2293 ) / 1
LCM(227,2293) = 520511 / 1
LCM(227,2293) = 520511
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FAQs on GCF of Fractions of 2400/227, 1755/2293
1. What is the HCF of 2400,1755?
The HCF of 2400,1755 is 15
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 2400/227, 1755/2293?
Answer: GCF of Numerators as per given numbers 2400/227, 1755/2293 is
GCF of Numerators i.e. for 2400,1755 is 15
LCM of denominators i.e. for 227,2293 is 520511.
Thus, GCF of Fractions is 15/520511.Finally, GCF of Fractions for 2400/227, 1755/2293 is 15/520511.