GCF of 518/589, 173/844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 518/589, 173/844 i.e 1/497116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 518/589, 173/844.
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 518/589,173/844?
Given fractions are 518/589,173/844
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 518/589,173/844, numerators are 518,173
Denominators are 589,844
The GCF of 518,173 is 1 .
LCM of 589,844 is 497116.
The greatest common factor of 518/589,173/844 = [GCF of 518,173]/[LCM of 589,844]= 1/497116
Therefore, the GCF of 518/589,173/844 is 1/497116.
To find the highest common factor of 518,173, we have to find the factors of both numbers and list the highest common factor.
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The factors of 173 are 1, 173
The HCF of 518,173 is 1.
Lets's calculate GCF of 518,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 518,173 By Matching Biggest Common Factor Method
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Now, list down the factors of 173
:1,173
Greatest Common Factor
We found the factors 518,173 . The biggest common factor number is the GCF number.
So the greatest common factor 518,173 is 1.
Lets's calculate LCM of 589,844
Given numbers has no common factors except 1. So, there LCM is their product i.e 497116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497116
Therefore, the GCF of Fractions 518/589,173/844 is 1/497116
Least Common Multiple of 589,844 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 589,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,844) x common factors =1 x 1 = 1
LCM(589,844) = ( 589 × 844 ) / 1
LCM(589,844) = 497116 / 1
LCM(589,844) = 497116
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 518/589, 173/844
1. What is the HCF of 518,173?
The HCF of 518,173 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 518/589, 173/844?
Answer: GCF of Numerators as per given numbers 518/589, 173/844 is
GCF of Numerators i.e. for 518,173 is 1
LCM of denominators i.e. for 589,844 is 497116.
Thus, GCF of Fractions is 1/497116.Finally, GCF of Fractions for 518/589, 173/844 is 1/497116.