Use our free GCF of Fractions Calculator tool to compute the GCF of 389/240, 584/252 i.e 1/5040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/240, 584/252.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 389/240,584/252
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 389/240,584/252, numerators are 389,584
Denominators are 240,252
The GCF of 389,584 is 1 .
LCM of 240,252 is 5040.
The greatest common factor of 389/240,584/252 = [GCF of 389,584]/[LCM of 240,252]= 1/5040
Therefore, the GCF of 389/240,584/252 is 1/5040.
To find the highest common factor of 389,584, 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 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 389,584 is 1.
Lets's calculate GCF of 389,584
∴ 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 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 389,584 . The biggest common factor number is the GCF number.
So the greatest common factor 389,584 is 1.
Lets's calculate LCM of 240,252
2 | 240, 252 |
2 | 120, 126 |
3 | 60, 63 |
20, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 21 = 5040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5040
Therefore, the GCF of Fractions 389/240,584/252 is 1/5040
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 240,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,252) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(240,252) x common factors =12 x 1 = 12
LCM(240,252) = ( 240 × 252 ) / 12
LCM(240,252) = 60480 / 12
LCM(240,252) = 5040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 389,584?
The HCF of 389,584 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 389/240, 584/252?
Answer: GCF of Numerators as per given numbers 389/240, 584/252 is
GCF of Numerators i.e. for 389,584 is 1
LCM of denominators i.e. for 240,252 is 5040.
Thus, GCF of Fractions is 1/5040.Finally, GCF of Fractions for 389/240, 584/252 is 1/5040.