Use our free GCF of Fractions Calculator tool to compute the GCF of 442/278, 683/819 i.e 1/227682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/278, 683/819.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/278,683/819
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 442/278,683/819, numerators are 442,683
Denominators are 278,819
The GCF of 442,683 is 1 .
LCM of 278,819 is 227682.
The greatest common factor of 442/278,683/819 = [GCF of 442,683]/[LCM of 278,819]= 1/227682
Therefore, the GCF of 442/278,683/819 is 1/227682.
To find the highest common factor of 442,683, we have to find the factors of both numbers and list the highest common factor.
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The factors of 683 are 1, 683
The HCF of 442,683 is 1.
Lets's calculate GCF of 442,683
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Now, list down the factors of 683
:1,683
Greatest Common Factor
We found the factors 442,683 . The biggest common factor number is the GCF number.
So the greatest common factor 442,683 is 1.
Lets's calculate LCM of 278,819
Given numbers has no common factors except 1. So, there LCM is their product i.e 227682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227682
Therefore, the GCF of Fractions 442/278,683/819 is 1/227682
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 278,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,819) x common factors =1 x 1 = 1
LCM(278,819) = ( 278 × 819 ) / 1
LCM(278,819) = 227682 / 1
LCM(278,819) = 227682
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 442,683?
The HCF of 442,683 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 442/278, 683/819?
Answer: GCF of Numerators as per given numbers 442/278, 683/819 is
GCF of Numerators i.e. for 442,683 is 1
LCM of denominators i.e. for 278,819 is 227682.
Thus, GCF of Fractions is 1/227682.Finally, GCF of Fractions for 442/278, 683/819 is 1/227682.