Use our free GCF of Fractions Calculator tool to compute the GCF of 939/324, 780/338 i.e 3/54756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 939/324, 780/338.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/324,780/338
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 939/324,780/338, numerators are 939,780
Denominators are 324,338
The GCF of 939,780 is 3 .
LCM of 324,338 is 54756.
The greatest common factor of 939/324,780/338 = [GCF of 939,780]/[LCM of 324,338]= 3/54756
Therefore, the GCF of 939/324,780/338 is 3/54756.
To find the highest common factor of 939,780, 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 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The HCF of 939,780 is 3.
Lets's calculate GCF of 939,780
3 | 939, 780 |
313, 260 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 939
:1,3,313,939
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 939,780 . The biggest common factor number is the GCF number.
So the greatest common factor 939,780 is 3.
Lets's calculate LCM of 324,338
2 | 324, 338 |
162, 169 |
∴ So the LCM of the given numbers is 2 x 162 x 169 = 54756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/54756
Therefore, the GCF of Fractions 939/324,780/338 is 3/54756
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 324,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(324,338) x common factors =2 x 1 = 2
LCM(324,338) = ( 324 × 338 ) / 2
LCM(324,338) = 109512 / 2
LCM(324,338) = 54756
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 939,780?
The HCF of 939,780 is 3
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 939/324, 780/338?
Answer: GCF of Numerators as per given numbers 939/324, 780/338 is
GCF of Numerators i.e. for 939,780 is 3
LCM of denominators i.e. for 324,338 is 54756.
Thus, GCF of Fractions is 3/54756.Finally, GCF of Fractions for 939/324, 780/338 is 3/54756.