GCF of 8029/259, 4884/621
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8029/259, 4884/621 i.e 37/160839 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8029/259, 4884/621.
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 8029/259,4884/621?
Given fractions are 8029/259,4884/621
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 8029/259,4884/621, numerators are 8029,4884
Denominators are 259,621
The GCF of 8029,4884 is 37 .
LCM of 259,621 is 160839.
The greatest common factor of 8029/259,4884/621 = [GCF of 8029,4884]/[LCM of 259,621]= 37/160839
Therefore, the GCF of 8029/259,4884/621 is 37/160839.
To find the highest common factor of 8029,4884, we have to find the factors of both numbers and list the highest common factor.
The factors of 8029 are 1, 7, 31, 37, 217, 259, 1147, 8029
The factors of 4884 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884
The HCF of 8029,4884 is 37.
Lets's calculate GCF of 8029,4884
| 37 | 8029, 4884 |
| 217, 132 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 8029,4884 By Matching Biggest Common Factor Method
Now, list down the factors of 8029
:1,7,31,37,217,259,1147,8029
Now, list down the factors of 4884
:1,2,3,4,6,11,12,22,33,37,44,66,74,111,132,148,222,407,444,814,1221,1628,2442,4884
Greatest Common Factor
We found the factors 8029,4884 . The biggest common factor number is the GCF number.
So the greatest common factor 8029,4884 is 37.
Lets's calculate LCM of 259,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 160839
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/160839
Therefore, the GCF of Fractions 8029/259,4884/621 is 37/160839
Least Common Multiple of 259,621 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 259,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,621) x common factors =1 x 1 = 1
LCM(259,621) = ( 259 × 621 ) / 1
LCM(259,621) = 160839 / 1
LCM(259,621) = 160839
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FAQs on GCF of Fractions of 8029/259, 4884/621
1. What is the HCF of 8029,4884?
The HCF of 8029,4884 is 37
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 8029/259, 4884/621?
Answer: GCF of Numerators as per given numbers 8029/259, 4884/621 is
GCF of Numerators i.e. for 8029,4884 is 37
LCM of denominators i.e. for 259,621 is 160839.
Thus, GCF of Fractions is 37/160839.Finally, GCF of Fractions for 8029/259, 4884/621 is 37/160839.