Use our free GCF of Fractions Calculator tool to compute the GCF of 734/765, 368/459 i.e 2/2295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 734/765, 368/459.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 734/765,368/459
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 734/765,368/459, numerators are 734,368
Denominators are 765,459
The GCF of 734,368 is 2 .
LCM of 765,459 is 2295.
The greatest common factor of 734/765,368/459 = [GCF of 734,368]/[LCM of 765,459]= 2/2295
Therefore, the GCF of 734/765,368/459 is 2/2295.
To find the highest common factor of 734,368, we have to find the factors of both numbers and list the highest common factor.
The factors of 734 are 1, 2, 367, 734
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The HCF of 734,368 is 2.
Lets's calculate GCF of 734,368
2 | 734, 368 |
367, 184 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 734
:1,2,367,734
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 734,368 . The biggest common factor number is the GCF number.
So the greatest common factor 734,368 is 2.
Lets's calculate LCM of 765,459
3 | 765, 459 |
3 | 255, 153 |
17 | 85, 51 |
5, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 17 x 5 x 3 = 2295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2295
Therefore, the GCF of Fractions 734/765,368/459 is 2/2295
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 765,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,459) = 153
common factors(in case of two or more numbers have common factors) = 1
GCF(765,459) x common factors =153 x 1 = 153
LCM(765,459) = ( 765 × 459 ) / 153
LCM(765,459) = 351135 / 153
LCM(765,459) = 2295
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 734,368?
The HCF of 734,368 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 734/765, 368/459?
Answer: GCF of Numerators as per given numbers 734/765, 368/459 is
GCF of Numerators i.e. for 734,368 is 2
LCM of denominators i.e. for 765,459 is 2295.
Thus, GCF of Fractions is 2/2295.Finally, GCF of Fractions for 734/765, 368/459 is 2/2295.