GCF of 2286/792, 5940/3546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2286/792, 5940/3546 i.e 18/156024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2286/792, 5940/3546.
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 2286/792,5940/3546?
Given fractions are 2286/792,5940/3546
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 2286/792,5940/3546, numerators are 2286,5940
Denominators are 792,3546
The GCF of 2286,5940 is 18 .
LCM of 792,3546 is 156024.
The greatest common factor of 2286/792,5940/3546 = [GCF of 2286,5940]/[LCM of 792,3546]= 18/156024
Therefore, the GCF of 2286/792,5940/3546 is 18/156024.
To find the highest common factor of 2286,5940, we have to find the factors of both numbers and list the highest common factor.
The factors of 2286 are 1, 2, 3, 6, 9, 18, 127, 254, 381, 762, 1143, 2286
The factors of 5940 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940
The HCF of 2286,5940 is 18.
Lets's calculate GCF of 2286,5940
| 2 | 2286, 5940 |
| 3 | 1143, 2970 |
| 3 | 381, 990 |
| 127, 330 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 2286,5940 By Matching Biggest Common Factor Method
Now, list down the factors of 2286
:1,2,3,6,9,18,127,254,381,762,1143,2286
Now, list down the factors of 5940
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,27,30,33,36,44,45,54,55,60,66,90,99,108,110,132,135,165,180,198,220,270,297,330,396,495,540,594,660,990,1188,1485,1980,2970,5940
Greatest Common Factor
We found the factors 2286,5940 . The biggest common factor number is the GCF number.
So the greatest common factor 2286,5940 is 18.
Lets's calculate LCM of 792,3546
| 2 | 792, 3546 |
| 3 | 396, 1773 |
| 3 | 132, 591 |
| 44, 197 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 44 x 197 = 156024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/156024
Therefore, the GCF of Fractions 2286/792,5940/3546 is 18/156024
Least Common Multiple of 792,3546 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 792,3546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,3546) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(792,3546) x common factors =18 x 1 = 18
LCM(792,3546) = ( 792 × 3546 ) / 18
LCM(792,3546) = 2808432 / 18
LCM(792,3546) = 156024
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FAQs on GCF of Fractions of 2286/792, 5940/3546
1. What is the HCF of 2286,5940?
The HCF of 2286,5940 is 18
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 2286/792, 5940/3546?
Answer: GCF of Numerators as per given numbers 2286/792, 5940/3546 is
GCF of Numerators i.e. for 2286,5940 is 18
LCM of denominators i.e. for 792,3546 is 156024.
Thus, GCF of Fractions is 18/156024.Finally, GCF of Fractions for 2286/792, 5940/3546 is 18/156024.