Use our free GCF of Fractions Calculator tool to compute the GCF of 918/486, 519/123 i.e 3/19926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/486, 519/123.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 918/486,519/123
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 918/486,519/123, numerators are 918,519
Denominators are 486,123
The GCF of 918,519 is 3 .
LCM of 486,123 is 19926.
The greatest common factor of 918/486,519/123 = [GCF of 918,519]/[LCM of 486,123]= 3/19926
Therefore, the GCF of 918/486,519/123 is 3/19926.
To find the highest common factor of 918,519, we have to find the factors of both numbers and list the highest common factor.
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The factors of 519 are 1, 3, 173, 519
The HCF of 918,519 is 3.
Lets's calculate GCF of 918,519
3 | 918, 519 |
306, 173 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Now, list down the factors of 519
:1,3,173,519
Greatest Common Factor
We found the factors 918,519 . The biggest common factor number is the GCF number.
So the greatest common factor 918,519 is 3.
Lets's calculate LCM of 486,123
3 | 486, 123 |
162, 41 |
∴ So the LCM of the given numbers is 3 x 162 x 41 = 19926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19926
Therefore, the GCF of Fractions 918/486,519/123 is 3/19926
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 486,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(486,123) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(486,123) x common factors =3 x 1 = 3
LCM(486,123) = ( 486 × 123 ) / 3
LCM(486,123) = 59778 / 3
LCM(486,123) = 19926
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 918,519?
The HCF of 918,519 is 3
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 918/486, 519/123?
Answer: GCF of Numerators as per given numbers 918/486, 519/123 is
GCF of Numerators i.e. for 918,519 is 3
LCM of denominators i.e. for 486,123 is 19926.
Thus, GCF of Fractions is 3/19926.Finally, GCF of Fractions for 918/486, 519/123 is 3/19926.