Use our free GCF of Fractions Calculator tool to compute the GCF of 348/921, 186/981 i.e 6/301167 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/921, 186/981.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/921,186/981
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 348/921,186/981, numerators are 348,186
Denominators are 921,981
The GCF of 348,186 is 6 .
LCM of 921,981 is 301167.
The greatest common factor of 348/921,186/981 = [GCF of 348,186]/[LCM of 921,981]= 6/301167
Therefore, the GCF of 348/921,186/981 is 6/301167.
To find the highest common factor of 348,186, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186
The HCF of 348,186 is 6.
Lets's calculate GCF of 348,186
2 | 348, 186 |
3 | 174, 93 |
58, 31 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 186
:1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 348,186 . The biggest common factor number is the GCF number.
So the greatest common factor 348,186 is 6.
Lets's calculate LCM of 921,981
3 | 921, 981 |
307, 327 |
∴ So the LCM of the given numbers is 3 x 307 x 327 = 301167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/301167
Therefore, the GCF of Fractions 348/921,186/981 is 6/301167
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 921,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(921,981) x common factors =3 x 1 = 3
LCM(921,981) = ( 921 × 981 ) / 3
LCM(921,981) = 903501 / 3
LCM(921,981) = 301167
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 348,186?
The HCF of 348,186 is 6
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 348/921, 186/981?
Answer: GCF of Numerators as per given numbers 348/921, 186/981 is
GCF of Numerators i.e. for 348,186 is 6
LCM of denominators i.e. for 921,981 is 301167.
Thus, GCF of Fractions is 6/301167.Finally, GCF of Fractions for 348/921, 186/981 is 6/301167.