Use our free GCF of Fractions Calculator tool to compute the GCF of 324/807, 577/182 i.e 1/146874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/807, 577/182.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 324/807,577/182
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 324/807,577/182, numerators are 324,577
Denominators are 807,182
The GCF of 324,577 is 1 .
LCM of 807,182 is 146874.
The greatest common factor of 324/807,577/182 = [GCF of 324,577]/[LCM of 807,182]= 1/146874
Therefore, the GCF of 324/807,577/182 is 1/146874.
To find the highest common factor of 324,577, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 577 are 1, 577
The HCF of 324,577 is 1.
Lets's calculate GCF of 324,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Now, list down the factors of 577
:1,577
Greatest Common Factor
We found the factors 324,577 . The biggest common factor number is the GCF number.
So the greatest common factor 324,577 is 1.
Lets's calculate LCM of 807,182
Given numbers has no common factors except 1. So, there LCM is their product i.e 146874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146874
Therefore, the GCF of Fractions 324/807,577/182 is 1/146874
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 807,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,182) x common factors =1 x 1 = 1
LCM(807,182) = ( 807 × 182 ) / 1
LCM(807,182) = 146874 / 1
LCM(807,182) = 146874
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 324,577?
The HCF of 324,577 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 324/807, 577/182?
Answer: GCF of Numerators as per given numbers 324/807, 577/182 is
GCF of Numerators i.e. for 324,577 is 1
LCM of denominators i.e. for 807,182 is 146874.
Thus, GCF of Fractions is 1/146874.Finally, GCF of Fractions for 324/807, 577/182 is 1/146874.