GCF of 1800/287, 6984/2686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1800/287, 6984/2686 i.e 72/770882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1800/287, 6984/2686.
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 1800/287,6984/2686?
Given fractions are 1800/287,6984/2686
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 1800/287,6984/2686, numerators are 1800,6984
Denominators are 287,2686
The GCF of 1800,6984 is 72 .
LCM of 287,2686 is 770882.
The greatest common factor of 1800/287,6984/2686 = [GCF of 1800,6984]/[LCM of 287,2686]= 72/770882
Therefore, the GCF of 1800/287,6984/2686 is 72/770882.
To find the highest common factor of 1800,6984, 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 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984
The HCF of 1800,6984 is 72.
Lets's calculate GCF of 1800,6984
| 2 | 1800, 6984 |
| 2 | 900, 3492 |
| 2 | 450, 1746 |
| 3 | 225, 873 |
| 3 | 75, 291 |
| 25, 97 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Greatest Common Factor of 1800,6984 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 6984
:1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984
Greatest Common Factor
We found the factors 1800,6984 . The biggest common factor number is the GCF number.
So the greatest common factor 1800,6984 is 72.
Lets's calculate LCM of 287,2686
Given numbers has no common factors except 1. So, there LCM is their product i.e 770882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/770882
Therefore, the GCF of Fractions 1800/287,6984/2686 is 72/770882
Least Common Multiple of 287,2686 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 287,2686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,2686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,2686) x common factors =1 x 1 = 1
LCM(287,2686) = ( 287 × 2686 ) / 1
LCM(287,2686) = 770882 / 1
LCM(287,2686) = 770882
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FAQs on GCF of Fractions of 1800/287, 6984/2686
1. What is the HCF of 1800,6984?
The HCF of 1800,6984 is 72
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 1800/287, 6984/2686?
Answer: GCF of Numerators as per given numbers 1800/287, 6984/2686 is
GCF of Numerators i.e. for 1800,6984 is 72
LCM of denominators i.e. for 287,2686 is 770882.
Thus, GCF of Fractions is 72/770882.Finally, GCF of Fractions for 1800/287, 6984/2686 is 72/770882.