GCF of 4320/104, 1984/5899
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4320/104, 1984/5899 i.e 32/613496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4320/104, 1984/5899.
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 4320/104,1984/5899?
Given fractions are 4320/104,1984/5899
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 4320/104,1984/5899, numerators are 4320,1984
Denominators are 104,5899
The GCF of 4320,1984 is 32 .
LCM of 104,5899 is 613496.
The greatest common factor of 4320/104,1984/5899 = [GCF of 4320,1984]/[LCM of 104,5899]= 32/613496
Therefore, the GCF of 4320/104,1984/5899 is 32/613496.
To find the highest common factor of 4320,1984, we have to find the factors of both numbers and list the highest common factor.
The factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320
The factors of 1984 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984
The HCF of 4320,1984 is 32.
Lets's calculate GCF of 4320,1984
| 2 | 4320, 1984 |
| 2 | 2160, 992 |
| 2 | 1080, 496 |
| 2 | 540, 248 |
| 2 | 270, 124 |
| 135, 62 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 4320,1984 By Matching Biggest Common Factor Method
Now, list down the factors of 4320
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320
Now, list down the factors of 1984
:1,2,4,8,16,31,32,62,64,124,248,496,992,1984
Greatest Common Factor
We found the factors 4320,1984 . The biggest common factor number is the GCF number.
So the greatest common factor 4320,1984 is 32.
Lets's calculate LCM of 104,5899
Given numbers has no common factors except 1. So, there LCM is their product i.e 613496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/613496
Therefore, the GCF of Fractions 4320/104,1984/5899 is 32/613496
Least Common Multiple of 104,5899 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 104,5899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,5899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,5899) x common factors =1 x 1 = 1
LCM(104,5899) = ( 104 × 5899 ) / 1
LCM(104,5899) = 613496 / 1
LCM(104,5899) = 613496
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FAQs on GCF of Fractions of 4320/104, 1984/5899
1. What is the HCF of 4320,1984?
The HCF of 4320,1984 is 32
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 4320/104, 1984/5899?
Answer: GCF of Numerators as per given numbers 4320/104, 1984/5899 is
GCF of Numerators i.e. for 4320,1984 is 32
LCM of denominators i.e. for 104,5899 is 613496.
Thus, GCF of Fractions is 32/613496.Finally, GCF of Fractions for 4320/104, 1984/5899 is 32/613496.