Use our free GCF of Fractions Calculator tool to compute the GCF of 28/944, 278/373, 839/129 i.e 1/45422448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/944, 278/373, 839/129.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/944,278/373,839/129
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 28/944,278/373,839/129, numerators are 28,278,839
Denominators are 944,373,129
The GCF of 28,278,839 is 1 .
LCM of 944,373,129 is 45422448.
The greatest common factor of 28/944,278/373,839/129 = [GCF of 28,278,839]/[LCM of 944,373,129]= 1/45422448
Therefore, the GCF of 28/944,278/373,839/129 is 1/45422448.
To find the highest common factor of 28,278,839, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 278 are 1, 2, 139, 278
The factors of 839 are 1, 839
The HCF of 28,278,839 is 1.
Lets's calculate GCF of 28,278,839
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 278
:1,2,139,278
Now, list down the factors of 839
:1,839
Greatest Common Factor
We found the factors 28,278,839 . The biggest common factor number is the GCF number.
So the greatest common factor 28,278,839 is 1.
Lets's calculate LCM of 944,373,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 45422448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45422448
Therefore, the GCF of Fractions 28/944,278/373,839/129 is 1/45422448
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 944,373,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,373,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(944,373,129) x common factors =1 x 1 = 1
LCM(944,373,129) = ( 944 × 373 × 129 ) / 1
LCM(944,373,129) = 45422448 / 1
LCM(944,373,129) = 45422448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,278,839?
The HCF of 28,278,839 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 28/944, 278/373, 839/129?
Answer: GCF of Numerators as per given numbers 28/944, 278/373, 839/129 is
GCF of Numerators i.e. for 28,278,839 is 1
LCM of denominators i.e. for 944,373,129 is 45422448.
Thus, GCF of Fractions is 1/45422448.Finally, GCF of Fractions for 28/944, 278/373, 839/129 is 1/45422448.