Use our free GCF of Fractions Calculator tool to compute the GCF of 393/474, 504/429 i.e 3/67782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 393/474, 504/429.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 393/474,504/429
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 393/474,504/429, numerators are 393,504
Denominators are 474,429
The GCF of 393,504 is 3 .
LCM of 474,429 is 67782.
The greatest common factor of 393/474,504/429 = [GCF of 393,504]/[LCM of 474,429]= 3/67782
Therefore, the GCF of 393/474,504/429 is 3/67782.
To find the highest common factor of 393,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 393 are 1, 3, 131, 393
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The HCF of 393,504 is 3.
Lets's calculate GCF of 393,504
3 | 393, 504 |
131, 168 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 393
:1,3,131,393
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 393,504 . The biggest common factor number is the GCF number.
So the greatest common factor 393,504 is 3.
Lets's calculate LCM of 474,429
3 | 474, 429 |
158, 143 |
∴ So the LCM of the given numbers is 3 x 158 x 143 = 67782
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/67782
Therefore, the GCF of Fractions 393/474,504/429 is 3/67782
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 474,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(474,429) x common factors =3 x 1 = 3
LCM(474,429) = ( 474 × 429 ) / 3
LCM(474,429) = 203346 / 3
LCM(474,429) = 67782
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 393,504?
The HCF of 393,504 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 393/474, 504/429?
Answer: GCF of Numerators as per given numbers 393/474, 504/429 is
GCF of Numerators i.e. for 393,504 is 3
LCM of denominators i.e. for 474,429 is 67782.
Thus, GCF of Fractions is 3/67782.Finally, GCF of Fractions for 393/474, 504/429 is 3/67782.