Use our free GCF of Fractions Calculator tool to compute the GCF of 595/411, 580/949 i.e 5/390039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 595/411, 580/949.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/411,580/949
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 595/411,580/949, numerators are 595,580
Denominators are 411,949
The GCF of 595,580 is 5 .
LCM of 411,949 is 390039.
The greatest common factor of 595/411,580/949 = [GCF of 595,580]/[LCM of 411,949]= 5/390039
Therefore, the GCF of 595/411,580/949 is 5/390039.
To find the highest common factor of 595,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 595,580 is 5.
Lets's calculate GCF of 595,580
5 | 595, 580 |
119, 116 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 595
:1,5,7,17,35,85,119,595
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 595,580 . The biggest common factor number is the GCF number.
So the greatest common factor 595,580 is 5.
Lets's calculate LCM of 411,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 390039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/390039
Therefore, the GCF of Fractions 595/411,580/949 is 5/390039
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 411,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,949) x common factors =1 x 1 = 1
LCM(411,949) = ( 411 × 949 ) / 1
LCM(411,949) = 390039 / 1
LCM(411,949) = 390039
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 595,580?
The HCF of 595,580 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 595/411, 580/949?
Answer: GCF of Numerators as per given numbers 595/411, 580/949 is
GCF of Numerators i.e. for 595,580 is 5
LCM of denominators i.e. for 411,949 is 390039.
Thus, GCF of Fractions is 5/390039.Finally, GCF of Fractions for 595/411, 580/949 is 5/390039.