GCF of 8439/650, 5723/2005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8439/650, 5723/2005 i.e 97/260650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8439/650, 5723/2005.
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 8439/650,5723/2005?
Given fractions are 8439/650,5723/2005
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 8439/650,5723/2005, numerators are 8439,5723
Denominators are 650,2005
The GCF of 8439,5723 is 97 .
LCM of 650,2005 is 260650.
The greatest common factor of 8439/650,5723/2005 = [GCF of 8439,5723]/[LCM of 650,2005]= 97/260650
Therefore, the GCF of 8439/650,5723/2005 is 97/260650.
To find the highest common factor of 8439,5723, we have to find the factors of both numbers and list the highest common factor.
The factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439
The factors of 5723 are 1, 59, 97, 5723
The HCF of 8439,5723 is 97.
Lets's calculate GCF of 8439,5723
| 97 | 8439, 5723 |
| 87, 59 |
∴ So the GCF of the given numbers is 97 = 97
Greatest Common Factor of 8439,5723 By Matching Biggest Common Factor Method
Now, list down the factors of 8439
:1,3,29,87,97,291,2813,8439
Now, list down the factors of 5723
:1,59,97,5723
Greatest Common Factor
We found the factors 8439,5723 . The biggest common factor number is the GCF number.
So the greatest common factor 8439,5723 is 97.
Lets's calculate LCM of 650,2005
| 5 | 650, 2005 |
| 130, 401 |
∴ So the LCM of the given numbers is 5 x 130 x 401 = 260650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/260650
Therefore, the GCF of Fractions 8439/650,5723/2005 is 97/260650
Least Common Multiple of 650,2005 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 650,2005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,2005) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(650,2005) x common factors =5 x 1 = 5
LCM(650,2005) = ( 650 × 2005 ) / 5
LCM(650,2005) = 1303250 / 5
LCM(650,2005) = 260650
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FAQs on GCF of Fractions of 8439/650, 5723/2005
1. What is the HCF of 8439,5723?
The HCF of 8439,5723 is 97
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 8439/650, 5723/2005?
Answer: GCF of Numerators as per given numbers 8439/650, 5723/2005 is
GCF of Numerators i.e. for 8439,5723 is 97
LCM of denominators i.e. for 650,2005 is 260650.
Thus, GCF of Fractions is 97/260650.Finally, GCF of Fractions for 8439/650, 5723/2005 is 97/260650.