Use our free GCF of Fractions Calculator tool to compute the GCF of 20/57, 160/36, 228/727 i.e 4/497268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/57, 160/36, 228/727.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/57,160/36,228/727
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 20/57,160/36,228/727, numerators are 20,160,228
Denominators are 57,36,727
The GCF of 20,160,228 is 4 .
LCM of 57,36,727 is 497268.
The greatest common factor of 20/57,160/36,228/727 = [GCF of 20,160,228]/[LCM of 57,36,727]= 4/497268
Therefore, the GCF of 20/57,160/36,228/727 is 4/497268.
To find the highest common factor of 20,160,228, 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 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The HCF of 20,160,228 is 4.
Lets's calculate GCF of 20,160,228
2 | 20, 160, 228 |
2 | 10, 80, 114 |
5, 40, 57 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 20,160,228 . The biggest common factor number is the GCF number.
So the greatest common factor 20,160,228 is 4.
Lets's calculate LCM of 57,36,727
3 | 57, 36, 727 |
19, 12, 727 |
∴ So the LCM of the given numbers is 3 x 19 x 12 x 727 = 497268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/497268
Therefore, the GCF of Fractions 20/57,160/36,228/727 is 4/497268
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 57,36,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,36,727) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(57,36,727) x common factors =1 x 3 = 3
LCM(57,36,727) = ( 57 × 36 × 727 ) / 3
LCM(57,36,727) = 1491804 / 3
LCM(57,36,727) = 497268
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,160,228?
The HCF of 20,160,228 is 4
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 20/57, 160/36, 228/727?
Answer: GCF of Numerators as per given numbers 20/57, 160/36, 228/727 is
GCF of Numerators i.e. for 20,160,228 is 4
LCM of denominators i.e. for 57,36,727 is 497268.
Thus, GCF of Fractions is 4/497268.Finally, GCF of Fractions for 20/57, 160/36, 228/727 is 4/497268.