Use our free GCF of Fractions Calculator tool to compute the GCF of 825/159, 344/296 i.e 1/47064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/159, 344/296.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 825/159,344/296
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 825/159,344/296, numerators are 825,344
Denominators are 159,296
The GCF of 825,344 is 1 .
LCM of 159,296 is 47064.
The greatest common factor of 825/159,344/296 = [GCF of 825,344]/[LCM of 159,296]= 1/47064
Therefore, the GCF of 825/159,344/296 is 1/47064.
To find the highest common factor of 825,344, we have to find the factors of both numbers and list the highest common factor.
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The HCF of 825,344 is 1.
Lets's calculate GCF of 825,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 825,344 . The biggest common factor number is the GCF number.
So the greatest common factor 825,344 is 1.
Lets's calculate LCM of 159,296
Given numbers has no common factors except 1. So, there LCM is their product i.e 47064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47064
Therefore, the GCF of Fractions 825/159,344/296 is 1/47064
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 159,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,296) x common factors =1 x 1 = 1
LCM(159,296) = ( 159 × 296 ) / 1
LCM(159,296) = 47064 / 1
LCM(159,296) = 47064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 825,344?
The HCF of 825,344 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 825/159, 344/296?
Answer: GCF of Numerators as per given numbers 825/159, 344/296 is
GCF of Numerators i.e. for 825,344 is 1
LCM of denominators i.e. for 159,296 is 47064.
Thus, GCF of Fractions is 1/47064.Finally, GCF of Fractions for 825/159, 344/296 is 1/47064.