Use our free GCF of Fractions Calculator tool to compute the GCF of 429/473, 451/253 i.e 11/10879 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/473, 451/253.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/473,451/253
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 429/473,451/253, numerators are 429,451
Denominators are 473,253
The GCF of 429,451 is 11 .
LCM of 473,253 is 10879.
The greatest common factor of 429/473,451/253 = [GCF of 429,451]/[LCM of 473,253]= 11/10879
Therefore, the GCF of 429/473,451/253 is 11/10879.
To find the highest common factor of 429,451, we have to find the factors of both numbers and list the highest common factor.
The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429
The factors of 451 are 1, 11, 41, 451
The HCF of 429,451 is 11.
Lets's calculate GCF of 429,451
11 | 429, 451 |
39, 41 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 429
:1,3,11,13,33,39,143,429
Now, list down the factors of 451
:1,11,41,451
Greatest Common Factor
We found the factors 429,451 . The biggest common factor number is the GCF number.
So the greatest common factor 429,451 is 11.
Lets's calculate LCM of 473,253
11 | 473, 253 |
43, 23 |
∴ So the LCM of the given numbers is 11 x 43 x 23 = 10879
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/10879
Therefore, the GCF of Fractions 429/473,451/253 is 11/10879
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 473,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,253) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(473,253) x common factors =11 x 1 = 11
LCM(473,253) = ( 473 × 253 ) / 11
LCM(473,253) = 119669 / 11
LCM(473,253) = 10879
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 429,451?
The HCF of 429,451 is 11
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 429/473, 451/253?
Answer: GCF of Numerators as per given numbers 429/473, 451/253 is
GCF of Numerators i.e. for 429,451 is 11
LCM of denominators i.e. for 473,253 is 10879.
Thus, GCF of Fractions is 11/10879.Finally, GCF of Fractions for 429/473, 451/253 is 11/10879.