Use our free GCF of Fractions Calculator tool to compute the GCF of 664/613, 996/818 i.e 332/501434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 664/613, 996/818.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 664/613,996/818
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 664/613,996/818, numerators are 664,996
Denominators are 613,818
The GCF of 664,996 is 332 .
LCM of 613,818 is 501434.
The greatest common factor of 664/613,996/818 = [GCF of 664,996]/[LCM of 613,818]= 332/501434
Therefore, the GCF of 664/613,996/818 is 332/501434.
To find the highest common factor of 664,996, we have to find the factors of both numbers and list the highest common factor.
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
The HCF of 664,996 is 332.
Lets's calculate GCF of 664,996
2 | 664, 996 |
2 | 332, 498 |
83 | 166, 249 |
2, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 83 = 332
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Now, list down the factors of 996
:1,2,3,4,6,12,83,166,249,332,498,996
Greatest Common Factor
We found the factors 664,996 . The biggest common factor number is the GCF number.
So the greatest common factor 664,996 is 332.
Lets's calculate LCM of 613,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 501434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 332/501434
Therefore, the GCF of Fractions 664/613,996/818 is 332/501434
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 613,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,818) x common factors =1 x 1 = 1
LCM(613,818) = ( 613 × 818 ) / 1
LCM(613,818) = 501434 / 1
LCM(613,818) = 501434
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 664,996?
The HCF of 664,996 is 332
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 664/613, 996/818?
Answer: GCF of Numerators as per given numbers 664/613, 996/818 is
GCF of Numerators i.e. for 664,996 is 332
LCM of denominators i.e. for 613,818 is 501434.
Thus, GCF of Fractions is 332/501434.Finally, GCF of Fractions for 664/613, 996/818 is 332/501434.