Use our free GCF of Fractions Calculator tool to compute the GCF of 1647/396, 8322/8593 i.e 3/3402828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1647/396, 8322/8593.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1647/396,8322/8593
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 1647/396,8322/8593, numerators are 1647,8322
Denominators are 396,8593
The GCF of 1647,8322 is 3 .
LCM of 396,8593 is 3402828.
The greatest common factor of 1647/396,8322/8593 = [GCF of 1647,8322]/[LCM of 396,8593]= 3/3402828
Therefore, the GCF of 1647/396,8322/8593 is 3/3402828.
To find the highest common factor of 1647,8322, we have to find the factors of both numbers and list the highest common factor.
The factors of 1647 are 1, 3, 9, 27, 61, 183, 549, 1647
The factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322
The HCF of 1647,8322 is 3.
Lets's calculate GCF of 1647,8322
3 | 1647, 8322 |
549, 2774 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 1647
:1,3,9,27,61,183,549,1647
Now, list down the factors of 8322
:1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322
Greatest Common Factor
We found the factors 1647,8322 . The biggest common factor number is the GCF number.
So the greatest common factor 1647,8322 is 3.
Lets's calculate LCM of 396,8593
Given numbers has no common factors except 1. So, there LCM is their product i.e 3402828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3402828
Therefore, the GCF of Fractions 1647/396,8322/8593 is 3/3402828
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 396,8593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,8593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(396,8593) x common factors =1 x 1 = 1
LCM(396,8593) = ( 396 × 8593 ) / 1
LCM(396,8593) = 3402828 / 1
LCM(396,8593) = 3402828
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1647,8322?
The HCF of 1647,8322 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 1647/396, 8322/8593?
Answer: GCF of Numerators as per given numbers 1647/396, 8322/8593 is
GCF of Numerators i.e. for 1647,8322 is 3
LCM of denominators i.e. for 396,8593 is 3402828.
Thus, GCF of Fractions is 3/3402828.Finally, GCF of Fractions for 1647/396, 8322/8593 is 3/3402828.