Use our free GCF of Fractions Calculator tool to compute the GCF of 829/586, 464/451 i.e 1/264286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 829/586, 464/451.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 829/586,464/451
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 829/586,464/451, numerators are 829,464
Denominators are 586,451
The GCF of 829,464 is 1 .
LCM of 586,451 is 264286.
The greatest common factor of 829/586,464/451 = [GCF of 829,464]/[LCM of 586,451]= 1/264286
Therefore, the GCF of 829/586,464/451 is 1/264286.
To find the highest common factor of 829,464, we have to find the factors of both numbers and list the highest common factor.
The factors of 829 are 1, 829
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The HCF of 829,464 is 1.
Lets's calculate GCF of 829,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 829
:1,829
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 829,464 . The biggest common factor number is the GCF number.
So the greatest common factor 829,464 is 1.
Lets's calculate LCM of 586,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 264286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264286
Therefore, the GCF of Fractions 829/586,464/451 is 1/264286
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 586,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,451) x common factors =1 x 1 = 1
LCM(586,451) = ( 586 × 451 ) / 1
LCM(586,451) = 264286 / 1
LCM(586,451) = 264286
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 829,464?
The HCF of 829,464 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 829/586, 464/451?
Answer: GCF of Numerators as per given numbers 829/586, 464/451 is
GCF of Numerators i.e. for 829,464 is 1
LCM of denominators i.e. for 586,451 is 264286.
Thus, GCF of Fractions is 1/264286.Finally, GCF of Fractions for 829/586, 464/451 is 1/264286.