Use our free GCF of Fractions Calculator tool to compute the GCF of 40/457, 39/885, 165/705 i.e 1/19008915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/457, 39/885, 165/705.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/457,39/885,165/705
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 40/457,39/885,165/705, numerators are 40,39,165
Denominators are 457,885,705
The GCF of 40,39,165 is 1 .
LCM of 457,885,705 is 19008915.
The greatest common factor of 40/457,39/885,165/705 = [GCF of 40,39,165]/[LCM of 457,885,705]= 1/19008915
Therefore, the GCF of 40/457,39/885,165/705 is 1/19008915.
To find the highest common factor of 40,39,165, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 39 are 1, 3, 13, 39
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 40,39,165 is 1.
Lets's calculate GCF of 40,39,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 40,39,165 . The biggest common factor number is the GCF number.
So the greatest common factor 40,39,165 is 1.
Lets's calculate LCM of 457,885,705
3 | 457, 885, 705 |
5 | 457, 295, 235 |
457, 59, 47 |
∴ So the LCM of the given numbers is 3 x 5 x 457 x 59 x 47 = 19008915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19008915
Therefore, the GCF of Fractions 40/457,39/885,165/705 is 1/19008915
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 457,885,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,885,705) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(457,885,705) x common factors =1 x 15 = 15
LCM(457,885,705) = ( 457 × 885 × 705 ) / 15
LCM(457,885,705) = 285133725 / 15
LCM(457,885,705) = 19008915
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 40,39,165?
The HCF of 40,39,165 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 40/457, 39/885, 165/705?
Answer: GCF of Numerators as per given numbers 40/457, 39/885, 165/705 is
GCF of Numerators i.e. for 40,39,165 is 1
LCM of denominators i.e. for 457,885,705 is 19008915.
Thus, GCF of Fractions is 1/19008915.Finally, GCF of Fractions for 40/457, 39/885, 165/705 is 1/19008915.