Use our free GCF of Fractions Calculator tool to compute the GCF of 202/389, 338/825 i.e 2/320925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 202/389, 338/825.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/389,338/825
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 202/389,338/825, numerators are 202,338
Denominators are 389,825
The GCF of 202,338 is 2 .
LCM of 389,825 is 320925.
The greatest common factor of 202/389,338/825 = [GCF of 202,338]/[LCM of 389,825]= 2/320925
Therefore, the GCF of 202/389,338/825 is 2/320925.
To find the highest common factor of 202,338, we have to find the factors of both numbers and list the highest common factor.
The factors of 202 are 1, 2, 101, 202
The factors of 338 are 1, 2, 13, 26, 169, 338
The HCF of 202,338 is 2.
Lets's calculate GCF of 202,338
2 | 202, 338 |
101, 169 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 202
:1,2,101,202
Now, list down the factors of 338
:1,2,13,26,169,338
Greatest Common Factor
We found the factors 202,338 . The biggest common factor number is the GCF number.
So the greatest common factor 202,338 is 2.
Lets's calculate LCM of 389,825
Given numbers has no common factors except 1. So, there LCM is their product i.e 320925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/320925
Therefore, the GCF of Fractions 202/389,338/825 is 2/320925
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 389,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,825) x common factors =1 x 1 = 1
LCM(389,825) = ( 389 × 825 ) / 1
LCM(389,825) = 320925 / 1
LCM(389,825) = 320925
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 202,338?
The HCF of 202,338 is 2
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 202/389, 338/825?
Answer: GCF of Numerators as per given numbers 202/389, 338/825 is
GCF of Numerators i.e. for 202,338 is 2
LCM of denominators i.e. for 389,825 is 320925.
Thus, GCF of Fractions is 2/320925.Finally, GCF of Fractions for 202/389, 338/825 is 2/320925.