Use our free GCF of Fractions Calculator tool to compute the GCF of 255/468, 810/119 i.e 15/55692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 255/468, 810/119.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/468,810/119
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 255/468,810/119, numerators are 255,810
Denominators are 468,119
The GCF of 255,810 is 15 .
LCM of 468,119 is 55692.
The greatest common factor of 255/468,810/119 = [GCF of 255,810]/[LCM of 468,119]= 15/55692
Therefore, the GCF of 255/468,810/119 is 15/55692.
To find the highest common factor of 255,810, we have to find the factors of both numbers and list the highest common factor.
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The HCF of 255,810 is 15.
Lets's calculate GCF of 255,810
3 | 255, 810 |
5 | 85, 270 |
17, 54 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 255,810 . The biggest common factor number is the GCF number.
So the greatest common factor 255,810 is 15.
Lets's calculate LCM of 468,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 55692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/55692
Therefore, the GCF of Fractions 255/468,810/119 is 15/55692
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 468,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(468,119) x common factors =1 x 1 = 1
LCM(468,119) = ( 468 × 119 ) / 1
LCM(468,119) = 55692 / 1
LCM(468,119) = 55692
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 255,810?
The HCF of 255,810 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 255/468, 810/119?
Answer: GCF of Numerators as per given numbers 255/468, 810/119 is
GCF of Numerators i.e. for 255,810 is 15
LCM of denominators i.e. for 468,119 is 55692.
Thus, GCF of Fractions is 15/55692.Finally, GCF of Fractions for 255/468, 810/119 is 15/55692.