GCF of 5820/293, 9792/200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5820/293, 9792/200 i.e 12/58600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5820/293, 9792/200.
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 5820/293,9792/200?
Given fractions are 5820/293,9792/200
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 5820/293,9792/200, numerators are 5820,9792
Denominators are 293,200
The GCF of 5820,9792 is 12 .
LCM of 293,200 is 58600.
The greatest common factor of 5820/293,9792/200 = [GCF of 5820,9792]/[LCM of 293,200]= 12/58600
Therefore, the GCF of 5820/293,9792/200 is 12/58600.
To find the highest common factor of 5820,9792, we have to find the factors of both numbers and list the highest common factor.
The factors of 5820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910, 5820
The factors of 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792
The HCF of 5820,9792 is 12.
Lets's calculate GCF of 5820,9792
| 2 | 5820, 9792 |
| 2 | 2910, 4896 |
| 3 | 1455, 2448 |
| 485, 816 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5820,9792 By Matching Biggest Common Factor Method
Now, list down the factors of 5820
:1,2,3,4,5,6,10,12,15,20,30,60,97,194,291,388,485,582,970,1164,1455,1940,2910,5820
Now, list down the factors of 9792
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792
Greatest Common Factor
We found the factors 5820,9792 . The biggest common factor number is the GCF number.
So the greatest common factor 5820,9792 is 12.
Lets's calculate LCM of 293,200
Given numbers has no common factors except 1. So, there LCM is their product i.e 58600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/58600
Therefore, the GCF of Fractions 5820/293,9792/200 is 12/58600
Least Common Multiple of 293,200 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 293,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,200) x common factors =1 x 1 = 1
LCM(293,200) = ( 293 × 200 ) / 1
LCM(293,200) = 58600 / 1
LCM(293,200) = 58600
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FAQs on GCF of Fractions of 5820/293, 9792/200
1. What is the HCF of 5820,9792?
The HCF of 5820,9792 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 5820/293, 9792/200?
Answer: GCF of Numerators as per given numbers 5820/293, 9792/200 is
GCF of Numerators i.e. for 5820,9792 is 12
LCM of denominators i.e. for 293,200 is 58600.
Thus, GCF of Fractions is 12/58600.Finally, GCF of Fractions for 5820/293, 9792/200 is 12/58600.