Use our free GCF of Fractions Calculator tool to compute the GCF of 423/771, 582/298 i.e 3/229758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/771, 582/298.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/771,582/298
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 423/771,582/298, numerators are 423,582
Denominators are 771,298
The GCF of 423,582 is 3 .
LCM of 771,298 is 229758.
The greatest common factor of 423/771,582/298 = [GCF of 423,582]/[LCM of 771,298]= 3/229758
Therefore, the GCF of 423/771,582/298 is 3/229758.
To find the highest common factor of 423,582, 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 582 are 1, 2, 3, 6, 97, 194, 291, 582
The HCF of 423,582 is 3.
Lets's calculate GCF of 423,582
3 | 423, 582 |
141, 194 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 423,582 . The biggest common factor number is the GCF number.
So the greatest common factor 423,582 is 3.
Lets's calculate LCM of 771,298
Given numbers has no common factors except 1. So, there LCM is their product i.e 229758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/229758
Therefore, the GCF of Fractions 423/771,582/298 is 3/229758
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 771,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,298) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,298) x common factors =1 x 1 = 1
LCM(771,298) = ( 771 × 298 ) / 1
LCM(771,298) = 229758 / 1
LCM(771,298) = 229758
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 423,582?
The HCF of 423,582 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 423/771, 582/298?
Answer: GCF of Numerators as per given numbers 423/771, 582/298 is
GCF of Numerators i.e. for 423,582 is 3
LCM of denominators i.e. for 771,298 is 229758.
Thus, GCF of Fractions is 3/229758.Finally, GCF of Fractions for 423/771, 582/298 is 3/229758.