GCF of 4624/501, 2890/4437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4624/501, 2890/4437 i.e 578/740979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4624/501, 2890/4437.
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 4624/501,2890/4437?
Given fractions are 4624/501,2890/4437
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 4624/501,2890/4437, numerators are 4624,2890
Denominators are 501,4437
The GCF of 4624,2890 is 578 .
LCM of 501,4437 is 740979.
The greatest common factor of 4624/501,2890/4437 = [GCF of 4624,2890]/[LCM of 501,4437]= 578/740979
Therefore, the GCF of 4624/501,2890/4437 is 578/740979.
To find the highest common factor of 4624,2890, we have to find the factors of both numbers and list the highest common factor.
The factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624
The factors of 2890 are 1, 2, 5, 10, 17, 34, 85, 170, 289, 578, 1445, 2890
The HCF of 4624,2890 is 578.
Lets's calculate GCF of 4624,2890
| 2 | 4624, 2890 |
| 17 | 2312, 1445 |
| 17 | 136, 85 |
| 8, 5 |
∴ So the GCF of the given numbers is 2 x 17 x 17 = 578
Greatest Common Factor of 4624,2890 By Matching Biggest Common Factor Method
Now, list down the factors of 4624
:1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624
Now, list down the factors of 2890
:1,2,5,10,17,34,85,170,289,578,1445,2890
Greatest Common Factor
We found the factors 4624,2890 . The biggest common factor number is the GCF number.
So the greatest common factor 4624,2890 is 578.
Lets's calculate LCM of 501,4437
| 3 | 501, 4437 |
| 167, 1479 |
∴ So the LCM of the given numbers is 3 x 167 x 1479 = 740979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 578/740979
Therefore, the GCF of Fractions 4624/501,2890/4437 is 578/740979
Least Common Multiple of 501,4437 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 501,4437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,4437) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,4437) x common factors =3 x 1 = 3
LCM(501,4437) = ( 501 × 4437 ) / 3
LCM(501,4437) = 2222937 / 3
LCM(501,4437) = 740979
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FAQs on GCF of Fractions of 4624/501, 2890/4437
1. What is the HCF of 4624,2890?
The HCF of 4624,2890 is 578
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 4624/501, 2890/4437?
Answer: GCF of Numerators as per given numbers 4624/501, 2890/4437 is
GCF of Numerators i.e. for 4624,2890 is 578
LCM of denominators i.e. for 501,4437 is 740979.
Thus, GCF of Fractions is 578/740979.Finally, GCF of Fractions for 4624/501, 2890/4437 is 578/740979.