Use our free GCF of Fractions Calculator tool to compute the GCF of 819/61, 368/194 i.e 1/11834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/61, 368/194.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/61,368/194
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 819/61,368/194, numerators are 819,368
Denominators are 61,194
The GCF of 819,368 is 1 .
LCM of 61,194 is 11834.
The greatest common factor of 819/61,368/194 = [GCF of 819,368]/[LCM of 61,194]= 1/11834
Therefore, the GCF of 819/61,368/194 is 1/11834.
To find the highest common factor of 819,368, 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 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The HCF of 819,368 is 1.
Lets's calculate GCF of 819,368
∴ 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 368
:1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 819,368 . The biggest common factor number is the GCF number.
So the greatest common factor 819,368 is 1.
Lets's calculate LCM of 61,194
Given numbers has no common factors except 1. So, there LCM is their product i.e 11834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11834
Therefore, the GCF of Fractions 819/61,368/194 is 1/11834
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 61,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,194) x common factors =1 x 1 = 1
LCM(61,194) = ( 61 × 194 ) / 1
LCM(61,194) = 11834 / 1
LCM(61,194) = 11834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 819,368?
The HCF of 819,368 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 819/61, 368/194?
Answer: GCF of Numerators as per given numbers 819/61, 368/194 is
GCF of Numerators i.e. for 819,368 is 1
LCM of denominators i.e. for 61,194 is 11834.
Thus, GCF of Fractions is 1/11834.Finally, GCF of Fractions for 819/61, 368/194 is 1/11834.