Use our free GCF of Fractions Calculator tool to compute the GCF of 59/160, 41/152, 360/255 i.e 1/155040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/160, 41/152, 360/255.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/160,41/152,360/255
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 59/160,41/152,360/255, numerators are 59,41,360
Denominators are 160,152,255
The GCF of 59,41,360 is 1 .
LCM of 160,152,255 is 155040.
The greatest common factor of 59/160,41/152,360/255 = [GCF of 59,41,360]/[LCM of 160,152,255]= 1/155040
Therefore, the GCF of 59/160,41/152,360/255 is 1/155040.
To find the highest common factor of 59,41,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 59 are 1, 59
The factors of 41 are 1, 41
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 59,41,360 is 1.
Lets's calculate GCF of 59,41,360
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 59
:1,59
Now, list down the factors of 41
:1,41
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 59,41,360 . The biggest common factor number is the GCF number.
So the greatest common factor 59,41,360 is 1.
Lets's calculate LCM of 160,152,255
2 | 160, 152, 255 |
2 | 80, 76, 255 |
2 | 40, 38, 255 |
5 | 20, 19, 255 |
4, 19, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 4 x 19 x 51 = 155040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155040
Therefore, the GCF of Fractions 59/160,41/152,360/255 is 1/155040
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 160,152,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,152,255) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(160,152,255) x common factors =1 x 40 = 40
LCM(160,152,255) = ( 160 × 152 × 255 ) / 40
LCM(160,152,255) = 6201600 / 40
LCM(160,152,255) = 155040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 59,41,360?
The HCF of 59,41,360 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 59/160, 41/152, 360/255?
Answer: GCF of Numerators as per given numbers 59/160, 41/152, 360/255 is
GCF of Numerators i.e. for 59,41,360 is 1
LCM of denominators i.e. for 160,152,255 is 155040.
Thus, GCF of Fractions is 1/155040.Finally, GCF of Fractions for 59/160, 41/152, 360/255 is 1/155040.