GCF of 441/493, 8185/8589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 441/493, 8185/8589 i.e 1/4234377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/493, 8185/8589.
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 441/493,8185/8589?
Given fractions are 441/493,8185/8589
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 441/493,8185/8589, numerators are 441,8185
Denominators are 493,8589
The GCF of 441,8185 is 1 .
LCM of 493,8589 is 4234377.
The greatest common factor of 441/493,8185/8589 = [GCF of 441,8185]/[LCM of 493,8589]= 1/4234377
Therefore, the GCF of 441/493,8185/8589 is 1/4234377.
To find the highest common factor of 441,8185, we have to find the factors of both numbers and list the highest common factor.
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441
The factors of 8185 are 1, 5, 1637, 8185
The HCF of 441,8185 is 1.
Lets's calculate GCF of 441,8185
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 441,8185 By Matching Biggest Common Factor Method
Now, list down the factors of 441
:1,3,7,9,21,49,63,147,441
Now, list down the factors of 8185
:1,5,1637,8185
Greatest Common Factor
We found the factors 441,8185 . The biggest common factor number is the GCF number.
So the greatest common factor 441,8185 is 1.
Lets's calculate LCM of 493,8589
Given numbers has no common factors except 1. So, there LCM is their product i.e 4234377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4234377
Therefore, the GCF of Fractions 441/493,8185/8589 is 1/4234377
Least Common Multiple of 493,8589 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 493,8589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,8589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,8589) x common factors =1 x 1 = 1
LCM(493,8589) = ( 493 × 8589 ) / 1
LCM(493,8589) = 4234377 / 1
LCM(493,8589) = 4234377
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 441/493, 8185/8589
1. What is the HCF of 441,8185?
The HCF of 441,8185 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 441/493, 8185/8589?
Answer: GCF of Numerators as per given numbers 441/493, 8185/8589 is
GCF of Numerators i.e. for 441,8185 is 1
LCM of denominators i.e. for 493,8589 is 4234377.
Thus, GCF of Fractions is 1/4234377.Finally, GCF of Fractions for 441/493, 8185/8589 is 1/4234377.