Use our free GCF of Fractions Calculator tool to compute the GCF of 368/412, 391/596 i.e 23/61388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 368/412, 391/596.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 368/412,391/596
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 368/412,391/596, numerators are 368,391
Denominators are 412,596
The GCF of 368,391 is 23 .
LCM of 412,596 is 61388.
The greatest common factor of 368/412,391/596 = [GCF of 368,391]/[LCM of 412,596]= 23/61388
Therefore, the GCF of 368/412,391/596 is 23/61388.
To find the highest common factor of 368,391, we have to find the factors of both numbers and list the highest common factor.
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The factors of 391 are 1, 17, 23, 391
The HCF of 368,391 is 23.
Lets's calculate GCF of 368,391
23 | 368, 391 |
16, 17 |
∴ So the GCF of the given numbers is 23 = 23
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Now, list down the factors of 391
:1,17,23,391
Greatest Common Factor
We found the factors 368,391 . The biggest common factor number is the GCF number.
So the greatest common factor 368,391 is 23.
Lets's calculate LCM of 412,596
2 | 412, 596 |
2 | 206, 298 |
103, 149 |
∴ So the LCM of the given numbers is 2 x 2 x 103 x 149 = 61388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/61388
Therefore, the GCF of Fractions 368/412,391/596 is 23/61388
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 412,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(412,596) x common factors =4 x 1 = 4
LCM(412,596) = ( 412 × 596 ) / 4
LCM(412,596) = 245552 / 4
LCM(412,596) = 61388
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 368,391?
The HCF of 368,391 is 23
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 368/412, 391/596?
Answer: GCF of Numerators as per given numbers 368/412, 391/596 is
GCF of Numerators i.e. for 368,391 is 23
LCM of denominators i.e. for 412,596 is 61388.
Thus, GCF of Fractions is 23/61388.Finally, GCF of Fractions for 368/412, 391/596 is 23/61388.