GCF of 8186/588, 5882/8340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8186/588, 5882/8340 i.e 2/408660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8186/588, 5882/8340.
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 8186/588,5882/8340?
Given fractions are 8186/588,5882/8340
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 8186/588,5882/8340, numerators are 8186,5882
Denominators are 588,8340
The GCF of 8186,5882 is 2 .
LCM of 588,8340 is 408660.
The greatest common factor of 8186/588,5882/8340 = [GCF of 8186,5882]/[LCM of 588,8340]= 2/408660
Therefore, the GCF of 8186/588,5882/8340 is 2/408660.
To find the highest common factor of 8186,5882, we have to find the factors of both numbers and list the highest common factor.
The factors of 8186 are 1, 2, 4093, 8186
The factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882
The HCF of 8186,5882 is 2.
Lets's calculate GCF of 8186,5882
| 2 | 8186, 5882 |
| 4093, 2941 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8186,5882 By Matching Biggest Common Factor Method
Now, list down the factors of 8186
:1,2,4093,8186
Now, list down the factors of 5882
:1,2,17,34,173,346,2941,5882
Greatest Common Factor
We found the factors 8186,5882 . The biggest common factor number is the GCF number.
So the greatest common factor 8186,5882 is 2.
Lets's calculate LCM of 588,8340
| 2 | 588, 8340 |
| 2 | 294, 4170 |
| 3 | 147, 2085 |
| 49, 695 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 695 = 408660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/408660
Therefore, the GCF of Fractions 8186/588,5882/8340 is 2/408660
Least Common Multiple of 588,8340 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 588,8340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,8340) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(588,8340) x common factors =12 x 1 = 12
LCM(588,8340) = ( 588 × 8340 ) / 12
LCM(588,8340) = 4903920 / 12
LCM(588,8340) = 408660
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8186/588, 5882/8340
1. What is the HCF of 8186,5882?
The HCF of 8186,5882 is 2
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 8186/588, 5882/8340?
Answer: GCF of Numerators as per given numbers 8186/588, 5882/8340 is
GCF of Numerators i.e. for 8186,5882 is 2
LCM of denominators i.e. for 588,8340 is 408660.
Thus, GCF of Fractions is 2/408660.Finally, GCF of Fractions for 8186/588, 5882/8340 is 2/408660.