Use our free GCF of Fractions Calculator tool to compute the GCF of 20/47, 231/99, 361/705 i.e 1/23265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/47, 231/99, 361/705.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/47,231/99,361/705
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 20/47,231/99,361/705, numerators are 20,231,361
Denominators are 47,99,705
The GCF of 20,231,361 is 1 .
LCM of 47,99,705 is 23265.
The greatest common factor of 20/47,231/99,361/705 = [GCF of 20,231,361]/[LCM of 47,99,705]= 1/23265
Therefore, the GCF of 20/47,231/99,361/705 is 1/23265.
To find the highest common factor of 20,231,361, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The factors of 361 are 1, 19, 361
The HCF of 20,231,361 is 1.
Lets's calculate GCF of 20,231,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Now, list down the factors of 361
:1,19,361
Greatest Common Factor
We found the factors 20,231,361 . The biggest common factor number is the GCF number.
So the greatest common factor 20,231,361 is 1.
Lets's calculate LCM of 47,99,705
3 | 47, 99, 705 |
47 | 47, 33, 235 |
1, 33, 5 |
∴ So the LCM of the given numbers is 3 x 47 x 1 x 33 x 5 = 23265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23265
Therefore, the GCF of Fractions 20/47,231/99,361/705 is 1/23265
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 47,99,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,99,705) = 1
common factors(in case of two or more numbers have common factors) = 141
GCF(47,99,705) x common factors =1 x 141 = 141
LCM(47,99,705) = ( 47 × 99 × 705 ) / 141
LCM(47,99,705) = 3280365 / 141
LCM(47,99,705) = 23265
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,231,361?
The HCF of 20,231,361 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 20/47, 231/99, 361/705?
Answer: GCF of Numerators as per given numbers 20/47, 231/99, 361/705 is
GCF of Numerators i.e. for 20,231,361 is 1
LCM of denominators i.e. for 47,99,705 is 23265.
Thus, GCF of Fractions is 1/23265.Finally, GCF of Fractions for 20/47, 231/99, 361/705 is 1/23265.