Use our free GCF of Fractions Calculator tool to compute the GCF of 445/148, 820/800 i.e 5/29600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/148, 820/800.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 445/148,820/800
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 445/148,820/800, numerators are 445,820
Denominators are 148,800
The GCF of 445,820 is 5 .
LCM of 148,800 is 29600.
The greatest common factor of 445/148,820/800 = [GCF of 445,820]/[LCM of 148,800]= 5/29600
Therefore, the GCF of 445/148,820/800 is 5/29600.
To find the highest common factor of 445,820, we have to find the factors of both numbers and list the highest common factor.
The factors of 445 are 1, 5, 89, 445
The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
The HCF of 445,820 is 5.
Lets's calculate GCF of 445,820
5 | 445, 820 |
89, 164 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 445
:1,5,89,445
Now, list down the factors of 820
:1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 445,820 . The biggest common factor number is the GCF number.
So the greatest common factor 445,820 is 5.
Lets's calculate LCM of 148,800
2 | 148, 800 |
2 | 74, 400 |
37, 200 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 200 = 29600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29600
Therefore, the GCF of Fractions 445/148,820/800 is 5/29600
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 148,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,800) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(148,800) x common factors =4 x 1 = 4
LCM(148,800) = ( 148 × 800 ) / 4
LCM(148,800) = 118400 / 4
LCM(148,800) = 29600
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 445,820?
The HCF of 445,820 is 5
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 445/148, 820/800?
Answer: GCF of Numerators as per given numbers 445/148, 820/800 is
GCF of Numerators i.e. for 445,820 is 5
LCM of denominators i.e. for 148,800 is 29600.
Thus, GCF of Fractions is 5/29600.Finally, GCF of Fractions for 445/148, 820/800 is 5/29600.