Use our free GCF of Fractions Calculator tool to compute the GCF of 453/604, 228/734 i.e 3/221668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/604, 228/734.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 453/604,228/734
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 453/604,228/734, numerators are 453,228
Denominators are 604,734
The GCF of 453,228 is 3 .
LCM of 604,734 is 221668.
The greatest common factor of 453/604,228/734 = [GCF of 453,228]/[LCM of 604,734]= 3/221668
Therefore, the GCF of 453/604,228/734 is 3/221668.
To find the highest common factor of 453,228, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The HCF of 453,228 is 3.
Lets's calculate GCF of 453,228
3 | 453, 228 |
151, 76 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 453
:1,3,151,453
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 453,228 . The biggest common factor number is the GCF number.
So the greatest common factor 453,228 is 3.
Lets's calculate LCM of 604,734
2 | 604, 734 |
302, 367 |
∴ So the LCM of the given numbers is 2 x 302 x 367 = 221668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/221668
Therefore, the GCF of Fractions 453/604,228/734 is 3/221668
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 604,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(604,734) x common factors =2 x 1 = 2
LCM(604,734) = ( 604 × 734 ) / 2
LCM(604,734) = 443336 / 2
LCM(604,734) = 221668
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 453,228?
The HCF of 453,228 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 453/604, 228/734?
Answer: GCF of Numerators as per given numbers 453/604, 228/734 is
GCF of Numerators i.e. for 453,228 is 3
LCM of denominators i.e. for 604,734 is 221668.
Thus, GCF of Fractions is 3/221668.Finally, GCF of Fractions for 453/604, 228/734 is 3/221668.