Use our free GCF of Fractions Calculator tool to compute the GCF of 146/649, 794/789 i.e 2/512061 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/649, 794/789.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 146/649,794/789
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 146/649,794/789, numerators are 146,794
Denominators are 649,789
The GCF of 146,794 is 2 .
LCM of 649,789 is 512061.
The greatest common factor of 146/649,794/789 = [GCF of 146,794]/[LCM of 649,789]= 2/512061
Therefore, the GCF of 146/649,794/789 is 2/512061.
To find the highest common factor of 146,794, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 794 are 1, 2, 397, 794
The HCF of 146,794 is 2.
Lets's calculate GCF of 146,794
2 | 146, 794 |
73, 397 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 794
:1,2,397,794
Greatest Common Factor
We found the factors 146,794 . The biggest common factor number is the GCF number.
So the greatest common factor 146,794 is 2.
Lets's calculate LCM of 649,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 512061
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/512061
Therefore, the GCF of Fractions 146/649,794/789 is 2/512061
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 649,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,789) x common factors =1 x 1 = 1
LCM(649,789) = ( 649 × 789 ) / 1
LCM(649,789) = 512061 / 1
LCM(649,789) = 512061
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 146,794?
The HCF of 146,794 is 2
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 146/649, 794/789?
Answer: GCF of Numerators as per given numbers 146/649, 794/789 is
GCF of Numerators i.e. for 146,794 is 2
LCM of denominators i.e. for 649,789 is 512061.
Thus, GCF of Fractions is 2/512061.Finally, GCF of Fractions for 146/649, 794/789 is 2/512061.