Use our free GCF of Fractions Calculator tool to compute the GCF of 819/222, 485/726 i.e 1/26862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/222, 485/726.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/222,485/726
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 819/222,485/726, numerators are 819,485
Denominators are 222,726
The GCF of 819,485 is 1 .
LCM of 222,726 is 26862.
The greatest common factor of 819/222,485/726 = [GCF of 819,485]/[LCM of 222,726]= 1/26862
Therefore, the GCF of 819/222,485/726 is 1/26862.
To find the highest common factor of 819,485, we have to find the factors of both numbers and list the highest common factor.
The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
The factors of 485 are 1, 5, 97, 485
The HCF of 819,485 is 1.
Lets's calculate GCF of 819,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 819
:1,3,7,9,13,21,39,63,91,117,273,819
Now, list down the factors of 485
:1,5,97,485
Greatest Common Factor
We found the factors 819,485 . The biggest common factor number is the GCF number.
So the greatest common factor 819,485 is 1.
Lets's calculate LCM of 222,726
2 | 222, 726 |
3 | 111, 363 |
37, 121 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 121 = 26862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26862
Therefore, the GCF of Fractions 819/222,485/726 is 1/26862
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 222,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,726) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(222,726) x common factors =6 x 1 = 6
LCM(222,726) = ( 222 × 726 ) / 6
LCM(222,726) = 161172 / 6
LCM(222,726) = 26862
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 819,485?
The HCF of 819,485 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 819/222, 485/726?
Answer: GCF of Numerators as per given numbers 819/222, 485/726 is
GCF of Numerators i.e. for 819,485 is 1
LCM of denominators i.e. for 222,726 is 26862.
Thus, GCF of Fractions is 1/26862.Finally, GCF of Fractions for 819/222, 485/726 is 1/26862.