GCF of 4092/398, 1920/1456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4092/398, 1920/1456 i.e 12/289744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4092/398, 1920/1456.
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 4092/398,1920/1456?
Given fractions are 4092/398,1920/1456
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 4092/398,1920/1456, numerators are 4092,1920
Denominators are 398,1456
The GCF of 4092,1920 is 12 .
LCM of 398,1456 is 289744.
The greatest common factor of 4092/398,1920/1456 = [GCF of 4092,1920]/[LCM of 398,1456]= 12/289744
Therefore, the GCF of 4092/398,1920/1456 is 12/289744.
To find the highest common factor of 4092,1920, we have to find the factors of both numbers and list the highest common factor.
The factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092
The factors of 1920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 320, 384, 480, 640, 960, 1920
The HCF of 4092,1920 is 12.
Lets's calculate GCF of 4092,1920
| 2 | 4092, 1920 |
| 2 | 2046, 960 |
| 3 | 1023, 480 |
| 341, 160 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4092,1920 By Matching Biggest Common Factor Method
Now, list down the factors of 4092
:1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092
Now, list down the factors of 1920
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,128,160,192,240,320,384,480,640,960,1920
Greatest Common Factor
We found the factors 4092,1920 . The biggest common factor number is the GCF number.
So the greatest common factor 4092,1920 is 12.
Lets's calculate LCM of 398,1456
| 2 | 398, 1456 |
| 199, 728 |
∴ So the LCM of the given numbers is 2 x 199 x 728 = 289744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/289744
Therefore, the GCF of Fractions 4092/398,1920/1456 is 12/289744
Least Common Multiple of 398,1456 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 398,1456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,1456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,1456) x common factors =2 x 1 = 2
LCM(398,1456) = ( 398 × 1456 ) / 2
LCM(398,1456) = 579488 / 2
LCM(398,1456) = 289744
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FAQs on GCF of Fractions of 4092/398, 1920/1456
1. What is the HCF of 4092,1920?
The HCF of 4092,1920 is 12
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 4092/398, 1920/1456?
Answer: GCF of Numerators as per given numbers 4092/398, 1920/1456 is
GCF of Numerators i.e. for 4092,1920 is 12
LCM of denominators i.e. for 398,1456 is 289744.
Thus, GCF of Fractions is 12/289744.Finally, GCF of Fractions for 4092/398, 1920/1456 is 12/289744.