Use our free GCF of Fractions Calculator tool to compute the GCF of 11/630, 19/369, 512/804 i.e 1/3461220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/630, 19/369, 512/804.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/630,19/369,512/804
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 11/630,19/369,512/804, numerators are 11,19,512
Denominators are 630,369,804
The GCF of 11,19,512 is 1 .
LCM of 630,369,804 is 3461220.
The greatest common factor of 11/630,19/369,512/804 = [GCF of 11,19,512]/[LCM of 630,369,804]= 1/3461220
Therefore, the GCF of 11/630,19/369,512/804 is 1/3461220.
To find the highest common factor of 11,19,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 19 are 1, 19
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 11,19,512 is 1.
Lets's calculate GCF of 11,19,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 11
:1,11
Now, list down the factors of 19
:1,19
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 11,19,512 . The biggest common factor number is the GCF number.
So the greatest common factor 11,19,512 is 1.
Lets's calculate LCM of 630,369,804
2 | 630, 369, 804 |
3 | 315, 369, 402 |
3 | 105, 123, 134 |
35, 41, 134 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 35 x 41 x 134 = 3461220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3461220
Therefore, the GCF of Fractions 11/630,19/369,512/804 is 1/3461220
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 630,369,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,369,804) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(630,369,804) x common factors =3 x 18 = 54
LCM(630,369,804) = ( 630 × 369 × 804 ) / 54
LCM(630,369,804) = 186905880 / 54
LCM(630,369,804) = 3461220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,19,512?
The HCF of 11,19,512 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 11/630, 19/369, 512/804?
Answer: GCF of Numerators as per given numbers 11/630, 19/369, 512/804 is
GCF of Numerators i.e. for 11,19,512 is 1
LCM of denominators i.e. for 630,369,804 is 3461220.
Thus, GCF of Fractions is 1/3461220.Finally, GCF of Fractions for 11/630, 19/369, 512/804 is 1/3461220.