Use our free GCF of Fractions Calculator tool to compute the GCF of 618/412, 858/733 i.e 6/301996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/412, 858/733.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 618/412,858/733
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 618/412,858/733, numerators are 618,858
Denominators are 412,733
The GCF of 618,858 is 6 .
LCM of 412,733 is 301996.
The greatest common factor of 618/412,858/733 = [GCF of 618,858]/[LCM of 412,733]= 6/301996
Therefore, the GCF of 618/412,858/733 is 6/301996.
To find the highest common factor of 618,858, we have to find the factors of both numbers and list the highest common factor.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The HCF of 618,858 is 6.
Lets's calculate GCF of 618,858
2 | 618, 858 |
3 | 309, 429 |
103, 143 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 618,858 . The biggest common factor number is the GCF number.
So the greatest common factor 618,858 is 6.
Lets's calculate LCM of 412,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 301996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/301996
Therefore, the GCF of Fractions 618/412,858/733 is 6/301996
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 412,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,733) x common factors =1 x 1 = 1
LCM(412,733) = ( 412 × 733 ) / 1
LCM(412,733) = 301996 / 1
LCM(412,733) = 301996
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 618,858?
The HCF of 618,858 is 6
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 618/412, 858/733?
Answer: GCF of Numerators as per given numbers 618/412, 858/733 is
GCF of Numerators i.e. for 618,858 is 6
LCM of denominators i.e. for 412,733 is 301996.
Thus, GCF of Fractions is 6/301996.Finally, GCF of Fractions for 618/412, 858/733 is 6/301996.