Use our free GCF of Fractions Calculator tool to compute the GCF of 85/18, 400/60, 579/404 i.e 1/18180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/18, 400/60, 579/404.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/18,400/60,579/404
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 85/18,400/60,579/404, numerators are 85,400,579
Denominators are 18,60,404
The GCF of 85,400,579 is 1 .
LCM of 18,60,404 is 18180.
The greatest common factor of 85/18,400/60,579/404 = [GCF of 85,400,579]/[LCM of 18,60,404]= 1/18180
Therefore, the GCF of 85/18,400/60,579/404 is 1/18180.
To find the highest common factor of 85,400,579, we have to find the factors of both numbers and list the highest common factor.
The factors of 85 are 1, 5, 17, 85
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The factors of 579 are 1, 3, 193, 579
The HCF of 85,400,579 is 1.
Lets's calculate GCF of 85,400,579
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Now, list down the factors of 579
:1,3,193,579
Greatest Common Factor
We found the factors 85,400,579 . The biggest common factor number is the GCF number.
So the greatest common factor 85,400,579 is 1.
Lets's calculate LCM of 18,60,404
2 | 18, 60, 404 |
2 | 9, 30, 202 |
3 | 9, 15, 101 |
3, 5, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 101 = 18180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18180
Therefore, the GCF of Fractions 85/18,400/60,579/404 is 1/18180
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 18,60,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,60,404) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(18,60,404) x common factors =2 x 12 = 24
LCM(18,60,404) = ( 18 × 60 × 404 ) / 24
LCM(18,60,404) = 436320 / 24
LCM(18,60,404) = 18180
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 85,400,579?
The HCF of 85,400,579 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 85/18, 400/60, 579/404?
Answer: GCF of Numerators as per given numbers 85/18, 400/60, 579/404 is
GCF of Numerators i.e. for 85,400,579 is 1
LCM of denominators i.e. for 18,60,404 is 18180.
Thus, GCF of Fractions is 1/18180.Finally, GCF of Fractions for 85/18, 400/60, 579/404 is 1/18180.