Use our free GCF of Fractions Calculator tool to compute the GCF of 423/582, 743/268 i.e 1/77988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/582, 743/268.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/582,743/268
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 423/582,743/268, numerators are 423,743
Denominators are 582,268
The GCF of 423,743 is 1 .
LCM of 582,268 is 77988.
The greatest common factor of 423/582,743/268 = [GCF of 423,743]/[LCM of 582,268]= 1/77988
Therefore, the GCF of 423/582,743/268 is 1/77988.
To find the highest common factor of 423,743, we have to find the factors of both numbers and list the highest common factor.
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 743 are 1, 743
The HCF of 423,743 is 1.
Lets's calculate GCF of 423,743
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 743
:1,743
Greatest Common Factor
We found the factors 423,743 . The biggest common factor number is the GCF number.
So the greatest common factor 423,743 is 1.
Lets's calculate LCM of 582,268
2 | 582, 268 |
291, 134 |
∴ So the LCM of the given numbers is 2 x 291 x 134 = 77988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77988
Therefore, the GCF of Fractions 423/582,743/268 is 1/77988
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 582,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,268) x common factors =2 x 1 = 2
LCM(582,268) = ( 582 × 268 ) / 2
LCM(582,268) = 155976 / 2
LCM(582,268) = 77988
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 423,743?
The HCF of 423,743 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 423/582, 743/268?
Answer: GCF of Numerators as per given numbers 423/582, 743/268 is
GCF of Numerators i.e. for 423,743 is 1
LCM of denominators i.e. for 582,268 is 77988.
Thus, GCF of Fractions is 1/77988.Finally, GCF of Fractions for 423/582, 743/268 is 1/77988.