Use our free GCF of Fractions Calculator tool to compute the GCF of 77/12, 338/55, 393/209 i.e 1/12540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/12, 338/55, 393/209.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/12,338/55,393/209
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 77/12,338/55,393/209, numerators are 77,338,393
Denominators are 12,55,209
The GCF of 77,338,393 is 1 .
LCM of 12,55,209 is 12540.
The greatest common factor of 77/12,338/55,393/209 = [GCF of 77,338,393]/[LCM of 12,55,209]= 1/12540
Therefore, the GCF of 77/12,338/55,393/209 is 1/12540.
To find the highest common factor of 77,338,393, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 338 are 1, 2, 13, 26, 169, 338
The factors of 393 are 1, 3, 131, 393
The HCF of 77,338,393 is 1.
Lets's calculate GCF of 77,338,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 338
:1,2,13,26,169,338
Now, list down the factors of 393
:1,3,131,393
Greatest Common Factor
We found the factors 77,338,393 . The biggest common factor number is the GCF number.
So the greatest common factor 77,338,393 is 1.
Lets's calculate LCM of 12,55,209
11 | 12, 55, 209 |
12, 5, 19 |
∴ So the LCM of the given numbers is 11 x 12 x 5 x 19 = 12540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12540
Therefore, the GCF of Fractions 77/12,338/55,393/209 is 1/12540
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 12,55,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,55,209) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(12,55,209) x common factors =1 x 11 = 11
LCM(12,55,209) = ( 12 × 55 × 209 ) / 11
LCM(12,55,209) = 137940 / 11
LCM(12,55,209) = 12540
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,338,393?
The HCF of 77,338,393 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 77/12, 338/55, 393/209?
Answer: GCF of Numerators as per given numbers 77/12, 338/55, 393/209 is
GCF of Numerators i.e. for 77,338,393 is 1
LCM of denominators i.e. for 12,55,209 is 12540.
Thus, GCF of Fractions is 1/12540.Finally, GCF of Fractions for 77/12, 338/55, 393/209 is 1/12540.