Use our free GCF of Fractions Calculator tool to compute the GCF of 445/800, 491/744 i.e 1/74400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/800, 491/744.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 445/800,491/744
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 445/800,491/744, numerators are 445,491
Denominators are 800,744
The GCF of 445,491 is 1 .
LCM of 800,744 is 74400.
The greatest common factor of 445/800,491/744 = [GCF of 445,491]/[LCM of 800,744]= 1/74400
Therefore, the GCF of 445/800,491/744 is 1/74400.
To find the highest common factor of 445,491, 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 491 are 1, 491
The HCF of 445,491 is 1.
Lets's calculate GCF of 445,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 445
:1,5,89,445
Now, list down the factors of 491
:1,491
Greatest Common Factor
We found the factors 445,491 . The biggest common factor number is the GCF number.
So the greatest common factor 445,491 is 1.
Lets's calculate LCM of 800,744
2 | 800, 744 |
2 | 400, 372 |
2 | 200, 186 |
100, 93 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 100 x 93 = 74400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74400
Therefore, the GCF of Fractions 445/800,491/744 is 1/74400
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 800,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,744) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(800,744) x common factors =8 x 1 = 8
LCM(800,744) = ( 800 × 744 ) / 8
LCM(800,744) = 595200 / 8
LCM(800,744) = 74400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 445,491?
The HCF of 445,491 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 445/800, 491/744?
Answer: GCF of Numerators as per given numbers 445/800, 491/744 is
GCF of Numerators i.e. for 445,491 is 1
LCM of denominators i.e. for 800,744 is 74400.
Thus, GCF of Fractions is 1/74400.Finally, GCF of Fractions for 445/800, 491/744 is 1/74400.