Use our free GCF of Fractions Calculator tool to compute the GCF of 12/133, 949/119, 439/646 i.e 1/4522 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/133, 949/119, 439/646.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 12/133,949/119,439/646
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 12/133,949/119,439/646, numerators are 12,949,439
Denominators are 133,119,646
The GCF of 12,949,439 is 1 .
LCM of 133,119,646 is 4522.
The greatest common factor of 12/133,949/119,439/646 = [GCF of 12,949,439]/[LCM of 133,119,646]= 1/4522
Therefore, the GCF of 12/133,949/119,439/646 is 1/4522.
To find the highest common factor of 12,949,439, we have to find the factors of both numbers and list the highest common factor.
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 949 are 1, 13, 73, 949
The factors of 439 are 1, 439
The HCF of 12,949,439 is 1.
Lets's calculate GCF of 12,949,439
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 949
:1,13,73,949
Now, list down the factors of 439
:1,439
Greatest Common Factor
We found the factors 12,949,439 . The biggest common factor number is the GCF number.
So the greatest common factor 12,949,439 is 1.
Lets's calculate LCM of 133,119,646
7 | 133, 119, 646 |
17 | 19, 17, 646 |
19 | 19, 1, 38 |
1, 1, 2 |
∴ So the LCM of the given numbers is 7 x 17 x 19 x 1 x 1 x 2 = 4522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4522
Therefore, the GCF of Fractions 12/133,949/119,439/646 is 1/4522
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 133,119,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,119,646) = 1
common factors(in case of two or more numbers have common factors) = 2261
GCF(133,119,646) x common factors =1 x 2261 = 2261
LCM(133,119,646) = ( 133 × 119 × 646 ) / 2261
LCM(133,119,646) = 10224242 / 2261
LCM(133,119,646) = 4522
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 12,949,439?
The HCF of 12,949,439 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 12/133, 949/119, 439/646?
Answer: GCF of Numerators as per given numbers 12/133, 949/119, 439/646 is
GCF of Numerators i.e. for 12,949,439 is 1
LCM of denominators i.e. for 133,119,646 is 4522.
Thus, GCF of Fractions is 1/4522.Finally, GCF of Fractions for 12/133, 949/119, 439/646 is 1/4522.