Use our free GCF of Fractions Calculator tool to compute the GCF of 89/228, 903/256, 233/388 i.e 1/1415424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/228, 903/256, 233/388.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/228,903/256,233/388
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 89/228,903/256,233/388, numerators are 89,903,233
Denominators are 228,256,388
The GCF of 89,903,233 is 1 .
LCM of 228,256,388 is 1415424.
The greatest common factor of 89/228,903/256,233/388 = [GCF of 89,903,233]/[LCM of 228,256,388]= 1/1415424
Therefore, the GCF of 89/228,903/256,233/388 is 1/1415424.
To find the highest common factor of 89,903,233, we have to find the factors of both numbers and list the highest common factor.
The factors of 89 are 1, 89
The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903
The factors of 233 are 1, 233
The HCF of 89,903,233 is 1.
Lets's calculate GCF of 89,903,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 89
:1,89
Now, list down the factors of 903
:1,3,7,21,43,129,301,903
Now, list down the factors of 233
:1,233
Greatest Common Factor
We found the factors 89,903,233 . The biggest common factor number is the GCF number.
So the greatest common factor 89,903,233 is 1.
Lets's calculate LCM of 228,256,388
2 | 228, 256, 388 |
2 | 114, 128, 194 |
57, 64, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 57 x 64 x 97 = 1415424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1415424
Therefore, the GCF of Fractions 89/228,903/256,233/388 is 1/1415424
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 228,256,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,256,388) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(228,256,388) x common factors =4 x 4 = 16
LCM(228,256,388) = ( 228 × 256 × 388 ) / 16
LCM(228,256,388) = 22646784 / 16
LCM(228,256,388) = 1415424
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 89,903,233?
The HCF of 89,903,233 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 89/228, 903/256, 233/388?
Answer: GCF of Numerators as per given numbers 89/228, 903/256, 233/388 is
GCF of Numerators i.e. for 89,903,233 is 1
LCM of denominators i.e. for 228,256,388 is 1415424.
Thus, GCF of Fractions is 1/1415424.Finally, GCF of Fractions for 89/228, 903/256, 233/388 is 1/1415424.