Use our free GCF of Fractions Calculator tool to compute the GCF of 666/309, 391/513 i.e 1/52839 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/309, 391/513.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 666/309,391/513
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 666/309,391/513, numerators are 666,391
Denominators are 309,513
The GCF of 666,391 is 1 .
LCM of 309,513 is 52839.
The greatest common factor of 666/309,391/513 = [GCF of 666,391]/[LCM of 309,513]= 1/52839
Therefore, the GCF of 666/309,391/513 is 1/52839.
To find the highest common factor of 666,391, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 391 are 1, 17, 23, 391
The HCF of 666,391 is 1.
Lets's calculate GCF of 666,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 391
:1,17,23,391
Greatest Common Factor
We found the factors 666,391 . The biggest common factor number is the GCF number.
So the greatest common factor 666,391 is 1.
Lets's calculate LCM of 309,513
3 | 309, 513 |
103, 171 |
∴ So the LCM of the given numbers is 3 x 103 x 171 = 52839
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52839
Therefore, the GCF of Fractions 666/309,391/513 is 1/52839
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 309,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,513) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,513) x common factors =3 x 1 = 3
LCM(309,513) = ( 309 × 513 ) / 3
LCM(309,513) = 158517 / 3
LCM(309,513) = 52839
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 666,391?
The HCF of 666,391 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 666/309, 391/513?
Answer: GCF of Numerators as per given numbers 666/309, 391/513 is
GCF of Numerators i.e. for 666,391 is 1
LCM of denominators i.e. for 309,513 is 52839.
Thus, GCF of Fractions is 1/52839.Finally, GCF of Fractions for 666/309, 391/513 is 1/52839.