Use our free GCF of Fractions Calculator tool to compute the GCF of 184/803, 580/977 i.e 4/784531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 184/803, 580/977.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/803,580/977
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 184/803,580/977, numerators are 184,580
Denominators are 803,977
The GCF of 184,580 is 4 .
LCM of 803,977 is 784531.
The greatest common factor of 184/803,580/977 = [GCF of 184,580]/[LCM of 803,977]= 4/784531
Therefore, the GCF of 184/803,580/977 is 4/784531.
To find the highest common factor of 184,580, we have to find the factors of both numbers and list the highest common factor.
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184
The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 184,580 is 4.
Lets's calculate GCF of 184,580
2 | 184, 580 |
2 | 92, 290 |
46, 145 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 184
:1,2,4,8,23,46,92,184
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 184,580 . The biggest common factor number is the GCF number.
So the greatest common factor 184,580 is 4.
Lets's calculate LCM of 803,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 784531
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/784531
Therefore, the GCF of Fractions 184/803,580/977 is 4/784531
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 803,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,977) x common factors =1 x 1 = 1
LCM(803,977) = ( 803 × 977 ) / 1
LCM(803,977) = 784531 / 1
LCM(803,977) = 784531
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 184,580?
The HCF of 184,580 is 4
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 184/803, 580/977?
Answer: GCF of Numerators as per given numbers 184/803, 580/977 is
GCF of Numerators i.e. for 184,580 is 4
LCM of denominators i.e. for 803,977 is 784531.
Thus, GCF of Fractions is 4/784531.Finally, GCF of Fractions for 184/803, 580/977 is 4/784531.