Use our free GCF of Fractions Calculator tool to compute the GCF of 360/575, 914/512 i.e 2/294400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 360/575, 914/512.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 360/575,914/512
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 360/575,914/512, numerators are 360,914
Denominators are 575,512
The GCF of 360,914 is 2 .
LCM of 575,512 is 294400.
The greatest common factor of 360/575,914/512 = [GCF of 360,914]/[LCM of 575,512]= 2/294400
Therefore, the GCF of 360/575,914/512 is 2/294400.
To find the highest common factor of 360,914, we have to find the factors of both numbers and list the highest common factor.
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The factors of 914 are 1, 2, 457, 914
The HCF of 360,914 is 2.
Lets's calculate GCF of 360,914
2 | 360, 914 |
180, 457 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 360,914 . The biggest common factor number is the GCF number.
So the greatest common factor 360,914 is 2.
Lets's calculate LCM of 575,512
Given numbers has no common factors except 1. So, there LCM is their product i.e 294400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/294400
Therefore, the GCF of Fractions 360/575,914/512 is 2/294400
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 575,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,512) x common factors =1 x 1 = 1
LCM(575,512) = ( 575 × 512 ) / 1
LCM(575,512) = 294400 / 1
LCM(575,512) = 294400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 360,914?
The HCF of 360,914 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 360/575, 914/512?
Answer: GCF of Numerators as per given numbers 360/575, 914/512 is
GCF of Numerators i.e. for 360,914 is 2
LCM of denominators i.e. for 575,512 is 294400.
Thus, GCF of Fractions is 2/294400.Finally, GCF of Fractions for 360/575, 914/512 is 2/294400.