Use our free GCF of Fractions Calculator tool to compute the GCF of 922/368, 580/589 i.e 2/216752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/368, 580/589.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 922/368,580/589
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 922/368,580/589, numerators are 922,580
Denominators are 368,589
The GCF of 922,580 is 2 .
LCM of 368,589 is 216752.
The greatest common factor of 922/368,580/589 = [GCF of 922,580]/[LCM of 368,589]= 2/216752
Therefore, the GCF of 922/368,580/589 is 2/216752.
To find the highest common factor of 922,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 922,580 is 2.
Lets's calculate GCF of 922,580
2 | 922, 580 |
461, 290 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 922
:1,2,461,922
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 922,580 . The biggest common factor number is the GCF number.
So the greatest common factor 922,580 is 2.
Lets's calculate LCM of 368,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 216752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/216752
Therefore, the GCF of Fractions 922/368,580/589 is 2/216752
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 368,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,589) x common factors =1 x 1 = 1
LCM(368,589) = ( 368 × 589 ) / 1
LCM(368,589) = 216752 / 1
LCM(368,589) = 216752
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 922,580?
The HCF of 922,580 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 922/368, 580/589?
Answer: GCF of Numerators as per given numbers 922/368, 580/589 is
GCF of Numerators i.e. for 922,580 is 2
LCM of denominators i.e. for 368,589 is 216752.
Thus, GCF of Fractions is 2/216752.Finally, GCF of Fractions for 922/368, 580/589 is 2/216752.