Use our free GCF of Fractions Calculator tool to compute the GCF of 939/450, 722/379 i.e 1/170550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 939/450, 722/379.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/450,722/379
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 939/450,722/379, numerators are 939,722
Denominators are 450,379
The GCF of 939,722 is 1 .
LCM of 450,379 is 170550.
The greatest common factor of 939/450,722/379 = [GCF of 939,722]/[LCM of 450,379]= 1/170550
Therefore, the GCF of 939/450,722/379 is 1/170550.
To find the highest common factor of 939,722, we have to find the factors of both numbers and list the highest common factor.
The factors of 939 are 1, 3, 313, 939
The factors of 722 are 1, 2, 19, 38, 361, 722
The HCF of 939,722 is 1.
Lets's calculate GCF of 939,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 939
:1,3,313,939
Now, list down the factors of 722
:1,2,19,38,361,722
Greatest Common Factor
We found the factors 939,722 . The biggest common factor number is the GCF number.
So the greatest common factor 939,722 is 1.
Lets's calculate LCM of 450,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 170550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170550
Therefore, the GCF of Fractions 939/450,722/379 is 1/170550
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 450,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(450,379) x common factors =1 x 1 = 1
LCM(450,379) = ( 450 × 379 ) / 1
LCM(450,379) = 170550 / 1
LCM(450,379) = 170550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 939,722?
The HCF of 939,722 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 939/450, 722/379?
Answer: GCF of Numerators as per given numbers 939/450, 722/379 is
GCF of Numerators i.e. for 939,722 is 1
LCM of denominators i.e. for 450,379 is 170550.
Thus, GCF of Fractions is 1/170550.Finally, GCF of Fractions for 939/450, 722/379 is 1/170550.