Use our free GCF of Fractions Calculator tool to compute the GCF of 608/213, 218/183 i.e 2/12993 easily. The following is the detailed procedure to determine the greatest common factor of fractions 608/213, 218/183.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 608/213,218/183
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 608/213,218/183, numerators are 608,218
Denominators are 213,183
The GCF of 608,218 is 2 .
LCM of 213,183 is 12993.
The greatest common factor of 608/213,218/183 = [GCF of 608,218]/[LCM of 213,183]= 2/12993
Therefore, the GCF of 608/213,218/183 is 2/12993.
To find the highest common factor of 608,218, we have to find the factors of both numbers and list the highest common factor.
The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
The factors of 218 are 1, 2, 109, 218
The HCF of 608,218 is 2.
Lets's calculate GCF of 608,218
2 | 608, 218 |
304, 109 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 608
:1,2,4,8,16,19,32,38,76,152,304,608
Now, list down the factors of 218
:1,2,109,218
Greatest Common Factor
We found the factors 608,218 . The biggest common factor number is the GCF number.
So the greatest common factor 608,218 is 2.
Lets's calculate LCM of 213,183
3 | 213, 183 |
71, 61 |
∴ So the LCM of the given numbers is 3 x 71 x 61 = 12993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12993
Therefore, the GCF of Fractions 608/213,218/183 is 2/12993
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 213,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,183) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,183) x common factors =3 x 1 = 3
LCM(213,183) = ( 213 × 183 ) / 3
LCM(213,183) = 38979 / 3
LCM(213,183) = 12993
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 608,218?
The HCF of 608,218 is 2
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 608/213, 218/183?
Answer: GCF of Numerators as per given numbers 608/213, 218/183 is
GCF of Numerators i.e. for 608,218 is 2
LCM of denominators i.e. for 213,183 is 12993.
Thus, GCF of Fractions is 2/12993.Finally, GCF of Fractions for 608/213, 218/183 is 2/12993.