GCF of 4186/585, 7999/1731
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4186/585, 7999/1731 i.e 1/337545 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4186/585, 7999/1731.
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 4186/585,7999/1731?
Given fractions are 4186/585,7999/1731
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 4186/585,7999/1731, numerators are 4186,7999
Denominators are 585,1731
The GCF of 4186,7999 is 1 .
LCM of 585,1731 is 337545.
The greatest common factor of 4186/585,7999/1731 = [GCF of 4186,7999]/[LCM of 585,1731]= 1/337545
Therefore, the GCF of 4186/585,7999/1731 is 1/337545.
To find the highest common factor of 4186,7999, we have to find the factors of both numbers and list the highest common factor.
The factors of 4186 are 1, 2, 7, 13, 14, 23, 26, 46, 91, 161, 182, 299, 322, 598, 2093, 4186
The factors of 7999 are 1, 19, 421, 7999
The HCF of 4186,7999 is 1.
Lets's calculate GCF of 4186,7999
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4186,7999 By Matching Biggest Common Factor Method
Now, list down the factors of 4186
:1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186
Now, list down the factors of 7999
:1,19,421,7999
Greatest Common Factor
We found the factors 4186,7999 . The biggest common factor number is the GCF number.
So the greatest common factor 4186,7999 is 1.
Lets's calculate LCM of 585,1731
| 3 | 585, 1731 |
| 195, 577 |
∴ So the LCM of the given numbers is 3 x 195 x 577 = 337545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337545
Therefore, the GCF of Fractions 4186/585,7999/1731 is 1/337545
Least Common Multiple of 585,1731 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 585,1731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,1731) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(585,1731) x common factors =3 x 1 = 3
LCM(585,1731) = ( 585 × 1731 ) / 3
LCM(585,1731) = 1012635 / 3
LCM(585,1731) = 337545
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4186/585, 7999/1731
1. What is the HCF of 4186,7999?
The HCF of 4186,7999 is 1
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 4186/585, 7999/1731?
Answer: GCF of Numerators as per given numbers 4186/585, 7999/1731 is
GCF of Numerators i.e. for 4186,7999 is 1
LCM of denominators i.e. for 585,1731 is 337545.
Thus, GCF of Fractions is 1/337545.Finally, GCF of Fractions for 4186/585, 7999/1731 is 1/337545.