Use our free GCF of Fractions Calculator tool to compute the GCF of 213/364, 447/349 i.e 3/127036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 213/364, 447/349.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 213/364,447/349
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 213/364,447/349, numerators are 213,447
Denominators are 364,349
The GCF of 213,447 is 3 .
LCM of 364,349 is 127036.
The greatest common factor of 213/364,447/349 = [GCF of 213,447]/[LCM of 364,349]= 3/127036
Therefore, the GCF of 213/364,447/349 is 3/127036.
To find the highest common factor of 213,447, we have to find the factors of both numbers and list the highest common factor.
The factors of 213 are 1, 3, 71, 213
The factors of 447 are 1, 3, 149, 447
The HCF of 213,447 is 3.
Lets's calculate GCF of 213,447
3 | 213, 447 |
71, 149 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 213
:1,3,71,213
Now, list down the factors of 447
:1,3,149,447
Greatest Common Factor
We found the factors 213,447 . The biggest common factor number is the GCF number.
So the greatest common factor 213,447 is 3.
Lets's calculate LCM of 364,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 127036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/127036
Therefore, the GCF of Fractions 213/364,447/349 is 3/127036
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 364,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,349) x common factors =1 x 1 = 1
LCM(364,349) = ( 364 × 349 ) / 1
LCM(364,349) = 127036 / 1
LCM(364,349) = 127036
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 213,447?
The HCF of 213,447 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 213/364, 447/349?
Answer: GCF of Numerators as per given numbers 213/364, 447/349 is
GCF of Numerators i.e. for 213,447 is 3
LCM of denominators i.e. for 364,349 is 127036.
Thus, GCF of Fractions is 3/127036.Finally, GCF of Fractions for 213/364, 447/349 is 3/127036.