Use our free GCF of Fractions Calculator tool to compute the GCF of 885/707, 585/405 i.e 15/286335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 885/707, 585/405.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 885/707,585/405
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 885/707,585/405, numerators are 885,585
Denominators are 707,405
The GCF of 885,585 is 15 .
LCM of 707,405 is 286335.
The greatest common factor of 885/707,585/405 = [GCF of 885,585]/[LCM of 707,405]= 15/286335
Therefore, the GCF of 885/707,585/405 is 15/286335.
To find the highest common factor of 885,585, we have to find the factors of both numbers and list the highest common factor.
The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885
The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
The HCF of 885,585 is 15.
Lets's calculate GCF of 885,585
3 | 885, 585 |
5 | 295, 195 |
59, 39 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 885
:1,3,5,15,59,177,295,885
Now, list down the factors of 585
:1,3,5,9,13,15,39,45,65,117,195,585
Greatest Common Factor
We found the factors 885,585 . The biggest common factor number is the GCF number.
So the greatest common factor 885,585 is 15.
Lets's calculate LCM of 707,405
Given numbers has no common factors except 1. So, there LCM is their product i.e 286335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/286335
Therefore, the GCF of Fractions 885/707,585/405 is 15/286335
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 707,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,405) x common factors =1 x 1 = 1
LCM(707,405) = ( 707 × 405 ) / 1
LCM(707,405) = 286335 / 1
LCM(707,405) = 286335
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 885,585?
The HCF of 885,585 is 15
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 885/707, 585/405?
Answer: GCF of Numerators as per given numbers 885/707, 585/405 is
GCF of Numerators i.e. for 885,585 is 15
LCM of denominators i.e. for 707,405 is 286335.
Thus, GCF of Fractions is 15/286335.Finally, GCF of Fractions for 885/707, 585/405 is 15/286335.