Use our free GCF of Fractions Calculator tool to compute the GCF of 453/229, 203/308 i.e 1/70532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/229, 203/308.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 453/229,203/308
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 453/229,203/308, numerators are 453,203
Denominators are 229,308
The GCF of 453,203 is 1 .
LCM of 229,308 is 70532.
The greatest common factor of 453/229,203/308 = [GCF of 453,203]/[LCM of 229,308]= 1/70532
Therefore, the GCF of 453/229,203/308 is 1/70532.
To find the highest common factor of 453,203, 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 203 are 1, 7, 29, 203
The HCF of 453,203 is 1.
Lets's calculate GCF of 453,203
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 203
:1,7,29,203
Greatest Common Factor
We found the factors 453,203 . The biggest common factor number is the GCF number.
So the greatest common factor 453,203 is 1.
Lets's calculate LCM of 229,308
Given numbers has no common factors except 1. So, there LCM is their product i.e 70532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70532
Therefore, the GCF of Fractions 453/229,203/308 is 1/70532
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 229,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,308) x common factors =1 x 1 = 1
LCM(229,308) = ( 229 × 308 ) / 1
LCM(229,308) = 70532 / 1
LCM(229,308) = 70532
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 453,203?
The HCF of 453,203 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 453/229, 203/308?
Answer: GCF of Numerators as per given numbers 453/229, 203/308 is
GCF of Numerators i.e. for 453,203 is 1
LCM of denominators i.e. for 229,308 is 70532.
Thus, GCF of Fractions is 1/70532.Finally, GCF of Fractions for 453/229, 203/308 is 1/70532.