Use our free GCF of Fractions Calculator tool to compute the GCF of 983/363, 365/394 i.e 1/143022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 983/363, 365/394.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 983/363,365/394
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 983/363,365/394, numerators are 983,365
Denominators are 363,394
The GCF of 983,365 is 1 .
LCM of 363,394 is 143022.
The greatest common factor of 983/363,365/394 = [GCF of 983,365]/[LCM of 363,394]= 1/143022
Therefore, the GCF of 983/363,365/394 is 1/143022.
To find the highest common factor of 983,365, we have to find the factors of both numbers and list the highest common factor.
The factors of 983 are 1, 983
The factors of 365 are 1, 5, 73, 365
The HCF of 983,365 is 1.
Lets's calculate GCF of 983,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 983
:1,983
Now, list down the factors of 365
:1,5,73,365
Greatest Common Factor
We found the factors 983,365 . The biggest common factor number is the GCF number.
So the greatest common factor 983,365 is 1.
Lets's calculate LCM of 363,394
Given numbers has no common factors except 1. So, there LCM is their product i.e 143022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143022
Therefore, the GCF of Fractions 983/363,365/394 is 1/143022
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 363,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,394) x common factors =1 x 1 = 1
LCM(363,394) = ( 363 × 394 ) / 1
LCM(363,394) = 143022 / 1
LCM(363,394) = 143022
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 983,365?
The HCF of 983,365 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 983/363, 365/394?
Answer: GCF of Numerators as per given numbers 983/363, 365/394 is
GCF of Numerators i.e. for 983,365 is 1
LCM of denominators i.e. for 363,394 is 143022.
Thus, GCF of Fractions is 1/143022.Finally, GCF of Fractions for 983/363, 365/394 is 1/143022.