Use our free GCF of Fractions Calculator tool to compute the GCF of 159/269, 204/992 i.e 3/266848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 159/269, 204/992.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 159/269,204/992
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 159/269,204/992, numerators are 159,204
Denominators are 269,992
The GCF of 159,204 is 3 .
LCM of 269,992 is 266848.
The greatest common factor of 159/269,204/992 = [GCF of 159,204]/[LCM of 269,992]= 3/266848
Therefore, the GCF of 159/269,204/992 is 3/266848.
To find the highest common factor of 159,204, we have to find the factors of both numbers and list the highest common factor.
The factors of 159 are 1, 3, 53, 159
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The HCF of 159,204 is 3.
Lets's calculate GCF of 159,204
3 | 159, 204 |
53, 68 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 159
:1,3,53,159
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 159,204 . The biggest common factor number is the GCF number.
So the greatest common factor 159,204 is 3.
Lets's calculate LCM of 269,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 266848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/266848
Therefore, the GCF of Fractions 159/269,204/992 is 3/266848
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 269,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,992) x common factors =1 x 1 = 1
LCM(269,992) = ( 269 × 992 ) / 1
LCM(269,992) = 266848 / 1
LCM(269,992) = 266848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 159,204?
The HCF of 159,204 is 3
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 159/269, 204/992?
Answer: GCF of Numerators as per given numbers 159/269, 204/992 is
GCF of Numerators i.e. for 159,204 is 3
LCM of denominators i.e. for 269,992 is 266848.
Thus, GCF of Fractions is 3/266848.Finally, GCF of Fractions for 159/269, 204/992 is 3/266848.