Use our free GCF of Fractions Calculator tool to compute the GCF of 383/12, 204/848 i.e 1/2544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 383/12, 204/848.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 383/12,204/848
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 383/12,204/848, numerators are 383,204
Denominators are 12,848
The GCF of 383,204 is 1 .
LCM of 12,848 is 2544.
The greatest common factor of 383/12,204/848 = [GCF of 383,204]/[LCM of 12,848]= 1/2544
Therefore, the GCF of 383/12,204/848 is 1/2544.
To find the highest common factor of 383,204, we have to find the factors of both numbers and list the highest common factor.
The factors of 383 are 1, 383
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The HCF of 383,204 is 1.
Lets's calculate GCF of 383,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 383
:1,383
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 383,204 . The biggest common factor number is the GCF number.
So the greatest common factor 383,204 is 1.
Lets's calculate LCM of 12,848
2 | 12, 848 |
2 | 6, 424 |
3, 212 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 212 = 2544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2544
Therefore, the GCF of Fractions 383/12,204/848 is 1/2544
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 12,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,848) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(12,848) x common factors =4 x 1 = 4
LCM(12,848) = ( 12 × 848 ) / 4
LCM(12,848) = 10176 / 4
LCM(12,848) = 2544
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 383,204?
The HCF of 383,204 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 383/12, 204/848?
Answer: GCF of Numerators as per given numbers 383/12, 204/848 is
GCF of Numerators i.e. for 383,204 is 1
LCM of denominators i.e. for 12,848 is 2544.
Thus, GCF of Fractions is 1/2544.Finally, GCF of Fractions for 383/12, 204/848 is 1/2544.