Use our free GCF of Fractions Calculator tool to compute the GCF of 939/369, 571/872 i.e 1/321768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 939/369, 571/872.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/369,571/872
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 939/369,571/872, numerators are 939,571
Denominators are 369,872
The GCF of 939,571 is 1 .
LCM of 369,872 is 321768.
The greatest common factor of 939/369,571/872 = [GCF of 939,571]/[LCM of 369,872]= 1/321768
Therefore, the GCF of 939/369,571/872 is 1/321768.
To find the highest common factor of 939,571, 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 571 are 1, 571
The HCF of 939,571 is 1.
Lets's calculate GCF of 939,571
∴ 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 571
:1,571
Greatest Common Factor
We found the factors 939,571 . The biggest common factor number is the GCF number.
So the greatest common factor 939,571 is 1.
Lets's calculate LCM of 369,872
Given numbers has no common factors except 1. So, there LCM is their product i.e 321768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321768
Therefore, the GCF of Fractions 939/369,571/872 is 1/321768
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 369,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,872) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,872) x common factors =1 x 1 = 1
LCM(369,872) = ( 369 × 872 ) / 1
LCM(369,872) = 321768 / 1
LCM(369,872) = 321768
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 939,571?
The HCF of 939,571 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 939/369, 571/872?
Answer: GCF of Numerators as per given numbers 939/369, 571/872 is
GCF of Numerators i.e. for 939,571 is 1
LCM of denominators i.e. for 369,872 is 321768.
Thus, GCF of Fractions is 1/321768.Finally, GCF of Fractions for 939/369, 571/872 is 1/321768.