Use our free GCF of Fractions Calculator tool to compute the GCF of 279/195, 825/477 i.e 3/31005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 279/195, 825/477.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 279/195,825/477
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 279/195,825/477, numerators are 279,825
Denominators are 195,477
The GCF of 279,825 is 3 .
LCM of 195,477 is 31005.
The greatest common factor of 279/195,825/477 = [GCF of 279,825]/[LCM of 195,477]= 3/31005
Therefore, the GCF of 279/195,825/477 is 3/31005.
To find the highest common factor of 279,825, we have to find the factors of both numbers and list the highest common factor.
The factors of 279 are 1, 3, 9, 31, 93, 279
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The HCF of 279,825 is 3.
Lets's calculate GCF of 279,825
3 | 279, 825 |
93, 275 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 279
:1,3,9,31,93,279
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 279,825 . The biggest common factor number is the GCF number.
So the greatest common factor 279,825 is 3.
Lets's calculate LCM of 195,477
3 | 195, 477 |
65, 159 |
∴ So the LCM of the given numbers is 3 x 65 x 159 = 31005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/31005
Therefore, the GCF of Fractions 279/195,825/477 is 3/31005
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 195,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,477) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(195,477) x common factors =3 x 1 = 3
LCM(195,477) = ( 195 × 477 ) / 3
LCM(195,477) = 93015 / 3
LCM(195,477) = 31005
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 279,825?
The HCF of 279,825 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 279/195, 825/477?
Answer: GCF of Numerators as per given numbers 279/195, 825/477 is
GCF of Numerators i.e. for 279,825 is 3
LCM of denominators i.e. for 195,477 is 31005.
Thus, GCF of Fractions is 3/31005.Finally, GCF of Fractions for 279/195, 825/477 is 3/31005.