GCF of 1800/143, 9745/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1800/143, 9745/286 i.e 5/286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1800/143, 9745/286.
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 1800/143,9745/286?
Given fractions are 1800/143,9745/286
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 1800/143,9745/286, numerators are 1800,9745
Denominators are 143,286
The GCF of 1800,9745 is 5 .
LCM of 143,286 is 286.
The greatest common factor of 1800/143,9745/286 = [GCF of 1800,9745]/[LCM of 143,286]= 5/286
Therefore, the GCF of 1800/143,9745/286 is 5/286.
To find the highest common factor of 1800,9745, we have to find the factors of both numbers and list the highest common factor.
The factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800
The factors of 9745 are 1, 5, 1949, 9745
The HCF of 1800,9745 is 5.
Lets's calculate GCF of 1800,9745
| 5 | 1800, 9745 |
| 360, 1949 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1800,9745 By Matching Biggest Common Factor Method
Now, list down the factors of 1800
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800
Now, list down the factors of 9745
:1,5,1949,9745
Greatest Common Factor
We found the factors 1800,9745 . The biggest common factor number is the GCF number.
So the greatest common factor 1800,9745 is 5.
Lets's calculate LCM of 143,286
| 11 | 143, 286 |
| 13 | 13, 26 |
| 1, 2 |
∴ So the LCM of the given numbers is 11 x 13 x 1 x 2 = 286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/286
Therefore, the GCF of Fractions 1800/143,9745/286 is 5/286
Least Common Multiple of 143,286 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 143,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,286) = 143
common factors(in case of two or more numbers have common factors) = 1
GCF(143,286) x common factors =143 x 1 = 143
LCM(143,286) = ( 143 × 286 ) / 143
LCM(143,286) = 40898 / 143
LCM(143,286) = 286
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FAQs on GCF of Fractions of 1800/143, 9745/286
1. What is the HCF of 1800,9745?
The HCF of 1800,9745 is 5
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 1800/143, 9745/286?
Answer: GCF of Numerators as per given numbers 1800/143, 9745/286 is
GCF of Numerators i.e. for 1800,9745 is 5
LCM of denominators i.e. for 143,286 is 286.
Thus, GCF of Fractions is 5/286.Finally, GCF of Fractions for 1800/143, 9745/286 is 5/286.