GCF of 5809/250, 8321/1459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5809/250, 8321/1459 i.e 157/364750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5809/250, 8321/1459.
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 5809/250,8321/1459?
Given fractions are 5809/250,8321/1459
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 5809/250,8321/1459, numerators are 5809,8321
Denominators are 250,1459
The GCF of 5809,8321 is 157 .
LCM of 250,1459 is 364750.
The greatest common factor of 5809/250,8321/1459 = [GCF of 5809,8321]/[LCM of 250,1459]= 157/364750
Therefore, the GCF of 5809/250,8321/1459 is 157/364750.
To find the highest common factor of 5809,8321, we have to find the factors of both numbers and list the highest common factor.
The factors of 5809 are 1, 37, 157, 5809
The factors of 8321 are 1, 53, 157, 8321
The HCF of 5809,8321 is 157.
Lets's calculate GCF of 5809,8321
| 157 | 5809, 8321 |
| 37, 53 |
∴ So the GCF of the given numbers is 157 = 157
Greatest Common Factor of 5809,8321 By Matching Biggest Common Factor Method
Now, list down the factors of 5809
:1,37,157,5809
Now, list down the factors of 8321
:1,53,157,8321
Greatest Common Factor
We found the factors 5809,8321 . The biggest common factor number is the GCF number.
So the greatest common factor 5809,8321 is 157.
Lets's calculate LCM of 250,1459
Given numbers has no common factors except 1. So, there LCM is their product i.e 364750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 157/364750
Therefore, the GCF of Fractions 5809/250,8321/1459 is 157/364750
Least Common Multiple of 250,1459 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 250,1459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,1459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,1459) x common factors =1 x 1 = 1
LCM(250,1459) = ( 250 × 1459 ) / 1
LCM(250,1459) = 364750 / 1
LCM(250,1459) = 364750
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FAQs on GCF of Fractions of 5809/250, 8321/1459
1. What is the HCF of 5809,8321?
The HCF of 5809,8321 is 157
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 5809/250, 8321/1459?
Answer: GCF of Numerators as per given numbers 5809/250, 8321/1459 is
GCF of Numerators i.e. for 5809,8321 is 157
LCM of denominators i.e. for 250,1459 is 364750.
Thus, GCF of Fractions is 157/364750.Finally, GCF of Fractions for 5809/250, 8321/1459 is 157/364750.