Use our free GCF of Fractions Calculator tool to compute the GCF of 945/120, 580/313 i.e 5/37560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/120, 580/313.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 945/120,580/313
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 945/120,580/313, numerators are 945,580
Denominators are 120,313
The GCF of 945,580 is 5 .
LCM of 120,313 is 37560.
The greatest common factor of 945/120,580/313 = [GCF of 945,580]/[LCM of 120,313]= 5/37560
Therefore, the GCF of 945/120,580/313 is 5/37560.
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 120,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 37560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/37560
Therefore, the GCF of Fractions 945/120,580/313 is 5/37560
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 120,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(120,313) x common factors =1 x 1 = 1
LCM(120,313) = ( 120 × 313 ) / 1
LCM(120,313) = 37560 / 1
LCM(120,313) = 37560
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 945/120, 580/313?
Answer: GCF of Numerators as per given numbers 945/120, 580/313 is
GCF of Numerators i.e. for 945,580 is 5
LCM of denominators i.e. for 120,313 is 37560.
Thus, GCF of Fractions is 5/37560.Finally, GCF of Fractions for 945/120, 580/313 is 5/37560.