Use our free GCF of Fractions Calculator tool to compute the GCF of 389/123, 206/252 i.e 1/10332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/123, 206/252.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 389/123,206/252
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 389/123,206/252, numerators are 389,206
Denominators are 123,252
The GCF of 389,206 is 1 .
LCM of 123,252 is 10332.
The greatest common factor of 389/123,206/252 = [GCF of 389,206]/[LCM of 123,252]= 1/10332
Therefore, the GCF of 389/123,206/252 is 1/10332.
To find the highest common factor of 389,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 389 are 1, 389
The factors of 206 are 1, 2, 103, 206
The HCF of 389,206 is 1.
Lets's calculate GCF of 389,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 389
:1,389
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 389,206 . The biggest common factor number is the GCF number.
So the greatest common factor 389,206 is 1.
Lets's calculate LCM of 123,252
3 | 123, 252 |
41, 84 |
∴ So the LCM of the given numbers is 3 x 41 x 84 = 10332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10332
Therefore, the GCF of Fractions 389/123,206/252 is 1/10332
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 123,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,252) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,252) x common factors =3 x 1 = 3
LCM(123,252) = ( 123 × 252 ) / 3
LCM(123,252) = 30996 / 3
LCM(123,252) = 10332
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 389,206?
The HCF of 389,206 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 389/123, 206/252?
Answer: GCF of Numerators as per given numbers 389/123, 206/252 is
GCF of Numerators i.e. for 389,206 is 1
LCM of denominators i.e. for 123,252 is 10332.
Thus, GCF of Fractions is 1/10332.Finally, GCF of Fractions for 389/123, 206/252 is 1/10332.