Use our free GCF of Fractions Calculator tool to compute the GCF of 818/223, 231/538 i.e 1/119974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 818/223, 231/538.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/223,231/538
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 818/223,231/538, numerators are 818,231
Denominators are 223,538
The GCF of 818,231 is 1 .
LCM of 223,538 is 119974.
The greatest common factor of 818/223,231/538 = [GCF of 818,231]/[LCM of 223,538]= 1/119974
Therefore, the GCF of 818/223,231/538 is 1/119974.
To find the highest common factor of 818,231, we have to find the factors of both numbers and list the highest common factor.
The factors of 818 are 1, 2, 409, 818
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The HCF of 818,231 is 1.
Lets's calculate GCF of 818,231
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 818
:1,2,409,818
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 818,231 . The biggest common factor number is the GCF number.
So the greatest common factor 818,231 is 1.
Lets's calculate LCM of 223,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 119974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119974
Therefore, the GCF of Fractions 818/223,231/538 is 1/119974
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 223,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,538) x common factors =1 x 1 = 1
LCM(223,538) = ( 223 × 538 ) / 1
LCM(223,538) = 119974 / 1
LCM(223,538) = 119974
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 818,231?
The HCF of 818,231 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 818/223, 231/538?
Answer: GCF of Numerators as per given numbers 818/223, 231/538 is
GCF of Numerators i.e. for 818,231 is 1
LCM of denominators i.e. for 223,538 is 119974.
Thus, GCF of Fractions is 1/119974.Finally, GCF of Fractions for 818/223, 231/538 is 1/119974.