GCF of 586/500, 181/209, 826/401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 586/500, 181/209, 826/401 i.e 1/41904500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 586/500, 181/209, 826/401.
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 586/500,181/209,826/401?
Given fractions are 586/500,181/209,826/401
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 586/500,181/209,826/401, numerators are 586,181,826
Denominators are 500,209,401
The GCF of 586,181,826 is 1 .
LCM of 500,209,401 is 41904500.
The greatest common factor of 586/500,181/209,826/401 = [GCF of 586,181,826]/[LCM of 500,209,401]= 1/41904500
Therefore, the GCF of 586/500,181/209,826/401 is 1/41904500.
To find the highest common factor of 586,181,826, we have to find the factors of both numbers and list the highest common factor.
The factors of 586 are 1, 2, 293, 586
The factors of 181 are 1, 181
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The HCF of 586,181,826 is 1.
Lets's calculate GCF of 586,181,826
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 586,181,826 By Matching Biggest Common Factor Method
Now, list down the factors of 586
:1,2,293,586
Now, list down the factors of 181
:1,181
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 586,181,826 . The biggest common factor number is the GCF number.
So the greatest common factor 586,181,826 is 1.
Lets's calculate LCM of 500,209,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 41904500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41904500
Therefore, the GCF of Fractions 586/500,181/209,826/401 is 1/41904500
Least Common Multiple of 500,209,401 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 500,209,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,209,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,209,401) x common factors =1 x 1 = 1
LCM(500,209,401) = ( 500 × 209 × 401 ) / 1
LCM(500,209,401) = 41904500 / 1
LCM(500,209,401) = 41904500
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 586/500, 181/209, 826/401
1. What is the HCF of 586,181,826?
The HCF of 586,181,826 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 586/500, 181/209, 826/401?
Answer: GCF of Numerators as per given numbers 586/500, 181/209, 826/401 is
GCF of Numerators i.e. for 586,181,826 is 1
LCM of denominators i.e. for 500,209,401 is 41904500.
Thus, GCF of Fractions is 1/41904500.Finally, GCF of Fractions for 586/500, 181/209, 826/401 is 1/41904500.