Use our free GCF of Fractions Calculator tool to compute the GCF of 423/106, 659/249 i.e 1/26394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/106, 659/249.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/106,659/249
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 423/106,659/249, numerators are 423,659
Denominators are 106,249
The GCF of 423,659 is 1 .
LCM of 106,249 is 26394.
The greatest common factor of 423/106,659/249 = [GCF of 423,659]/[LCM of 106,249]= 1/26394
Therefore, the GCF of 423/106,659/249 is 1/26394.
To find the highest common factor of 423,659, 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 659 are 1, 659
The HCF of 423,659 is 1.
Lets's calculate GCF of 423,659
∴ 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 659
:1,659
Greatest Common Factor
We found the factors 423,659 . The biggest common factor number is the GCF number.
So the greatest common factor 423,659 is 1.
Lets's calculate LCM of 106,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 26394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26394
Therefore, the GCF of Fractions 423/106,659/249 is 1/26394
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 106,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,249) x common factors =1 x 1 = 1
LCM(106,249) = ( 106 × 249 ) / 1
LCM(106,249) = 26394 / 1
LCM(106,249) = 26394
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 423,659?
The HCF of 423,659 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 423/106, 659/249?
Answer: GCF of Numerators as per given numbers 423/106, 659/249 is
GCF of Numerators i.e. for 423,659 is 1
LCM of denominators i.e. for 106,249 is 26394.
Thus, GCF of Fractions is 1/26394.Finally, GCF of Fractions for 423/106, 659/249 is 1/26394.