Use our free GCF of Fractions Calculator tool to compute the GCF of 829/473, 502/231 i.e 1/9933 easily. The following is the detailed procedure to determine the greatest common factor of fractions 829/473, 502/231.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 829/473,502/231
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 829/473,502/231, numerators are 829,502
Denominators are 473,231
The GCF of 829,502 is 1 .
LCM of 473,231 is 9933.
The greatest common factor of 829/473,502/231 = [GCF of 829,502]/[LCM of 473,231]= 1/9933
Therefore, the GCF of 829/473,502/231 is 1/9933.
To find the highest common factor of 829,502, 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 502 are 1, 2, 251, 502
The HCF of 829,502 is 1.
Lets's calculate GCF of 829,502
∴ 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 502
:1,2,251,502
Greatest Common Factor
We found the factors 829,502 . The biggest common factor number is the GCF number.
So the greatest common factor 829,502 is 1.
Lets's calculate LCM of 473,231
11 | 473, 231 |
43, 21 |
∴ So the LCM of the given numbers is 11 x 43 x 21 = 9933
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9933
Therefore, the GCF of Fractions 829/473,502/231 is 1/9933
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 473,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,231) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(473,231) x common factors =11 x 1 = 11
LCM(473,231) = ( 473 × 231 ) / 11
LCM(473,231) = 109263 / 11
LCM(473,231) = 9933
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 829,502?
The HCF of 829,502 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 829/473, 502/231?
Answer: GCF of Numerators as per given numbers 829/473, 502/231 is
GCF of Numerators i.e. for 829,502 is 1
LCM of denominators i.e. for 473,231 is 9933.
Thus, GCF of Fractions is 1/9933.Finally, GCF of Fractions for 829/473, 502/231 is 1/9933.