Use our free GCF of Fractions Calculator tool to compute the GCF of 825/827, 502/764 i.e 1/631828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/827, 502/764.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 825/827,502/764
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 825/827,502/764, numerators are 825,502
Denominators are 827,764
The GCF of 825,502 is 1 .
LCM of 827,764 is 631828.
The greatest common factor of 825/827,502/764 = [GCF of 825,502]/[LCM of 827,764]= 1/631828
Therefore, the GCF of 825/827,502/764 is 1/631828.
To find the highest common factor of 825,502, we have to find the factors of both numbers and list the highest common factor.
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 502 are 1, 2, 251, 502
The HCF of 825,502 is 1.
Lets's calculate GCF of 825,502
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 502
:1,2,251,502
Greatest Common Factor
We found the factors 825,502 . The biggest common factor number is the GCF number.
So the greatest common factor 825,502 is 1.
Lets's calculate LCM of 827,764
Given numbers has no common factors except 1. So, there LCM is their product i.e 631828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/631828
Therefore, the GCF of Fractions 825/827,502/764 is 1/631828
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 827,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,764) x common factors =1 x 1 = 1
LCM(827,764) = ( 827 × 764 ) / 1
LCM(827,764) = 631828 / 1
LCM(827,764) = 631828
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 825,502?
The HCF of 825,502 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 825/827, 502/764?
Answer: GCF of Numerators as per given numbers 825/827, 502/764 is
GCF of Numerators i.e. for 825,502 is 1
LCM of denominators i.e. for 827,764 is 631828.
Thus, GCF of Fractions is 1/631828.Finally, GCF of Fractions for 825/827, 502/764 is 1/631828.