Use our free GCF of Fractions Calculator tool to compute the GCF of 945/335, 580/480 i.e 5/32160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/335, 580/480.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 945/335,580/480
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 945/335,580/480, numerators are 945,580
Denominators are 335,480
The GCF of 945,580 is 5 .
LCM of 335,480 is 32160.
The greatest common factor of 945/335,580/480 = [GCF of 945,580]/[LCM of 335,480]= 5/32160
Therefore, the GCF of 945/335,580/480 is 5/32160.
To find the highest common factor of 945,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 945,580 is 5.
Lets's calculate GCF of 945,580
5 | 945, 580 |
189, 116 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 945,580 . The biggest common factor number is the GCF number.
So the greatest common factor 945,580 is 5.
Lets's calculate LCM of 335,480
5 | 335, 480 |
67, 96 |
∴ So the LCM of the given numbers is 5 x 67 x 96 = 32160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/32160
Therefore, the GCF of Fractions 945/335,580/480 is 5/32160
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 335,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,480) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(335,480) x common factors =5 x 1 = 5
LCM(335,480) = ( 335 × 480 ) / 5
LCM(335,480) = 160800 / 5
LCM(335,480) = 32160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 945,580?
The HCF of 945,580 is 5
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 945/335, 580/480?
Answer: GCF of Numerators as per given numbers 945/335, 580/480 is
GCF of Numerators i.e. for 945,580 is 5
LCM of denominators i.e. for 335,480 is 32160.
Thus, GCF of Fractions is 5/32160.Finally, GCF of Fractions for 945/335, 580/480 is 5/32160.