GCF of 4018/730, 5576/4844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4018/730, 5576/4844 i.e 82/1768060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4018/730, 5576/4844.
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 4018/730,5576/4844?
Given fractions are 4018/730,5576/4844
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 4018/730,5576/4844, numerators are 4018,5576
Denominators are 730,4844
The GCF of 4018,5576 is 82 .
LCM of 730,4844 is 1768060.
The greatest common factor of 4018/730,5576/4844 = [GCF of 4018,5576]/[LCM of 730,4844]= 82/1768060
Therefore, the GCF of 4018/730,5576/4844 is 82/1768060.
To find the highest common factor of 4018,5576, we have to find the factors of both numbers and list the highest common factor.
The factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018
The factors of 5576 are 1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576
The HCF of 4018,5576 is 82.
Lets's calculate GCF of 4018,5576
| 2 | 4018, 5576 |
| 41 | 2009, 2788 |
| 49, 68 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Greatest Common Factor of 4018,5576 By Matching Biggest Common Factor Method
Now, list down the factors of 4018
:1,2,7,14,41,49,82,98,287,574,2009,4018
Now, list down the factors of 5576
:1,2,4,8,17,34,41,68,82,136,164,328,697,1394,2788,5576
Greatest Common Factor
We found the factors 4018,5576 . The biggest common factor number is the GCF number.
So the greatest common factor 4018,5576 is 82.
Lets's calculate LCM of 730,4844
| 2 | 730, 4844 |
| 365, 2422 |
∴ So the LCM of the given numbers is 2 x 365 x 2422 = 1768060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/1768060
Therefore, the GCF of Fractions 4018/730,5576/4844 is 82/1768060
Least Common Multiple of 730,4844 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 730,4844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,4844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(730,4844) x common factors =2 x 1 = 2
LCM(730,4844) = ( 730 × 4844 ) / 2
LCM(730,4844) = 3536120 / 2
LCM(730,4844) = 1768060
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FAQs on GCF of Fractions of 4018/730, 5576/4844
1. What is the HCF of 4018,5576?
The HCF of 4018,5576 is 82
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 4018/730, 5576/4844?
Answer: GCF of Numerators as per given numbers 4018/730, 5576/4844 is
GCF of Numerators i.e. for 4018,5576 is 82
LCM of denominators i.e. for 730,4844 is 1768060.
Thus, GCF of Fractions is 82/1768060.Finally, GCF of Fractions for 4018/730, 5576/4844 is 82/1768060.