Use our free GCF of Fractions Calculator tool to compute the GCF of 582/749, 421/329 i.e 1/35203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 582/749, 421/329.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 582/749,421/329
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 582/749,421/329, numerators are 582,421
Denominators are 749,329
The GCF of 582,421 is 1 .
LCM of 749,329 is 35203.
The greatest common factor of 582/749,421/329 = [GCF of 582,421]/[LCM of 749,329]= 1/35203
Therefore, the GCF of 582/749,421/329 is 1/35203.
To find the highest common factor of 582,421, 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 421 are 1, 421
The HCF of 582,421 is 1.
Lets's calculate GCF of 582,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Now, list down the factors of 421
:1,421
Greatest Common Factor
We found the factors 582,421 . The biggest common factor number is the GCF number.
So the greatest common factor 582,421 is 1.
Lets's calculate LCM of 749,329
7 | 749, 329 |
107, 47 |
∴ So the LCM of the given numbers is 7 x 107 x 47 = 35203
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35203
Therefore, the GCF of Fractions 582/749,421/329 is 1/35203
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 749,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,329) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(749,329) x common factors =7 x 1 = 7
LCM(749,329) = ( 749 × 329 ) / 7
LCM(749,329) = 246421 / 7
LCM(749,329) = 35203
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 582,421?
The HCF of 582,421 is 1
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 582/749, 421/329?
Answer: GCF of Numerators as per given numbers 582/749, 421/329 is
GCF of Numerators i.e. for 582,421 is 1
LCM of denominators i.e. for 749,329 is 35203.
Thus, GCF of Fractions is 1/35203.Finally, GCF of Fractions for 582/749, 421/329 is 1/35203.