Use our free GCF of Fractions Calculator tool to compute the GCF of 410/470, 832/485 i.e 2/45590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 410/470, 832/485.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 410/470,832/485
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 410/470,832/485, numerators are 410,832
Denominators are 470,485
The GCF of 410,832 is 2 .
LCM of 470,485 is 45590.
The greatest common factor of 410/470,832/485 = [GCF of 410,832]/[LCM of 470,485]= 2/45590
Therefore, the GCF of 410/470,832/485 is 2/45590.
To find the highest common factor of 410,832, we have to find the factors of both numbers and list the highest common factor.
The factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The HCF of 410,832 is 2.
Lets's calculate GCF of 410,832
2 | 410, 832 |
205, 416 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 410,832 . The biggest common factor number is the GCF number.
So the greatest common factor 410,832 is 2.
Lets's calculate LCM of 470,485
5 | 470, 485 |
94, 97 |
∴ So the LCM of the given numbers is 5 x 94 x 97 = 45590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45590
Therefore, the GCF of Fractions 410/470,832/485 is 2/45590
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 470,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,485) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(470,485) x common factors =5 x 1 = 5
LCM(470,485) = ( 470 × 485 ) / 5
LCM(470,485) = 227950 / 5
LCM(470,485) = 45590
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 410,832?
The HCF of 410,832 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 410/470, 832/485?
Answer: GCF of Numerators as per given numbers 410/470, 832/485 is
GCF of Numerators i.e. for 410,832 is 2
LCM of denominators i.e. for 470,485 is 45590.
Thus, GCF of Fractions is 2/45590.Finally, GCF of Fractions for 410/470, 832/485 is 2/45590.