GCF of 4030/563, 5355/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4030/563, 5355/384 i.e 5/216192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4030/563, 5355/384.
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 4030/563,5355/384?
Given fractions are 4030/563,5355/384
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 4030/563,5355/384, numerators are 4030,5355
Denominators are 563,384
The GCF of 4030,5355 is 5 .
LCM of 563,384 is 216192.
The greatest common factor of 4030/563,5355/384 = [GCF of 4030,5355]/[LCM of 563,384]= 5/216192
Therefore, the GCF of 4030/563,5355/384 is 5/216192.
To find the highest common factor of 4030,5355, we have to find the factors of both numbers and list the highest common factor.
The factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030
The factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355
The HCF of 4030,5355 is 5.
Lets's calculate GCF of 4030,5355
| 5 | 4030, 5355 |
| 806, 1071 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4030,5355 By Matching Biggest Common Factor Method
Now, list down the factors of 4030
:1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030
Now, list down the factors of 5355
:1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355
Greatest Common Factor
We found the factors 4030,5355 . The biggest common factor number is the GCF number.
So the greatest common factor 4030,5355 is 5.
Lets's calculate LCM of 563,384
Given numbers has no common factors except 1. So, there LCM is their product i.e 216192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/216192
Therefore, the GCF of Fractions 4030/563,5355/384 is 5/216192
Least Common Multiple of 563,384 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 563,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,384) x common factors =1 x 1 = 1
LCM(563,384) = ( 563 × 384 ) / 1
LCM(563,384) = 216192 / 1
LCM(563,384) = 216192
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FAQs on GCF of Fractions of 4030/563, 5355/384
1. What is the HCF of 4030,5355?
The HCF of 4030,5355 is 5
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 4030/563, 5355/384?
Answer: GCF of Numerators as per given numbers 4030/563, 5355/384 is
GCF of Numerators i.e. for 4030,5355 is 5
LCM of denominators i.e. for 563,384 is 216192.
Thus, GCF of Fractions is 5/216192.Finally, GCF of Fractions for 4030/563, 5355/384 is 5/216192.