Use our free GCF of Fractions Calculator tool to compute the GCF of 582/380, 639/649 i.e 3/246620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 582/380, 639/649.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 582/380,639/649
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 582/380,639/649, numerators are 582,639
Denominators are 380,649
The GCF of 582,639 is 3 .
LCM of 380,649 is 246620.
The greatest common factor of 582/380,639/649 = [GCF of 582,639]/[LCM of 380,649]= 3/246620
Therefore, the GCF of 582/380,639/649 is 3/246620.
To find the highest common factor of 582,639, we have to find the factors of both numbers and list the highest common factor.
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The factors of 639 are 1, 3, 9, 71, 213, 639
The HCF of 582,639 is 3.
Lets's calculate GCF of 582,639
3 | 582, 639 |
194, 213 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Now, list down the factors of 639
:1,3,9,71,213,639
Greatest Common Factor
We found the factors 582,639 . The biggest common factor number is the GCF number.
So the greatest common factor 582,639 is 3.
Lets's calculate LCM of 380,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 246620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/246620
Therefore, the GCF of Fractions 582/380,639/649 is 3/246620
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 380,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(380,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(380,649) x common factors =1 x 1 = 1
LCM(380,649) = ( 380 × 649 ) / 1
LCM(380,649) = 246620 / 1
LCM(380,649) = 246620
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 582,639?
The HCF of 582,639 is 3
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 582/380, 639/649?
Answer: GCF of Numerators as per given numbers 582/380, 639/649 is
GCF of Numerators i.e. for 582,639 is 3
LCM of denominators i.e. for 380,649 is 246620.
Thus, GCF of Fractions is 3/246620.Finally, GCF of Fractions for 582/380, 639/649 is 3/246620.