Use our free GCF of Fractions Calculator tool to compute the GCF of 228/443, 573/433 i.e 3/191819 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/443, 573/433.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 228/443,573/433
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 228/443,573/433, numerators are 228,573
Denominators are 443,433
The GCF of 228,573 is 3 .
LCM of 443,433 is 191819.
The greatest common factor of 228/443,573/433 = [GCF of 228,573]/[LCM of 443,433]= 3/191819
Therefore, the GCF of 228/443,573/433 is 3/191819.
To find the highest common factor of 228,573, we have to find the factors of both numbers and list the highest common factor.
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The factors of 573 are 1, 3, 191, 573
The HCF of 228,573 is 3.
Lets's calculate GCF of 228,573
3 | 228, 573 |
76, 191 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Now, list down the factors of 573
:1,3,191,573
Greatest Common Factor
We found the factors 228,573 . The biggest common factor number is the GCF number.
So the greatest common factor 228,573 is 3.
Lets's calculate LCM of 443,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 191819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/191819
Therefore, the GCF of Fractions 228/443,573/433 is 3/191819
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 443,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,433) x common factors =1 x 1 = 1
LCM(443,433) = ( 443 × 433 ) / 1
LCM(443,433) = 191819 / 1
LCM(443,433) = 191819
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 228,573?
The HCF of 228,573 is 3
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 228/443, 573/433?
Answer: GCF of Numerators as per given numbers 228/443, 573/433 is
GCF of Numerators i.e. for 228,573 is 3
LCM of denominators i.e. for 443,433 is 191819.
Thus, GCF of Fractions is 3/191819.Finally, GCF of Fractions for 228/443, 573/433 is 3/191819.