Use our free GCF of Fractions Calculator tool to compute the GCF of 4733/171, 3242/8805 i.e 1/501885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4733/171, 3242/8805.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4733/171,3242/8805
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 4733/171,3242/8805, numerators are 4733,3242
Denominators are 171,8805
The GCF of 4733,3242 is 1 .
LCM of 171,8805 is 501885.
The greatest common factor of 4733/171,3242/8805 = [GCF of 4733,3242]/[LCM of 171,8805]= 1/501885
Therefore, the GCF of 4733/171,3242/8805 is 1/501885.
To find the highest common factor of 4733,3242, we have to find the factors of both numbers and list the highest common factor.
The factors of 4733 are 1, 4733
The factors of 3242 are 1, 2, 1621, 3242
The HCF of 4733,3242 is 1.
Lets's calculate GCF of 4733,3242
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4733
:1,4733
Now, list down the factors of 3242
:1,2,1621,3242
Greatest Common Factor
We found the factors 4733,3242 . The biggest common factor number is the GCF number.
So the greatest common factor 4733,3242 is 1.
Lets's calculate LCM of 171,8805
3 | 171, 8805 |
57, 2935 |
∴ So the LCM of the given numbers is 3 x 57 x 2935 = 501885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/501885
Therefore, the GCF of Fractions 4733/171,3242/8805 is 1/501885
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 171,8805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,8805) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,8805) x common factors =3 x 1 = 3
LCM(171,8805) = ( 171 × 8805 ) / 3
LCM(171,8805) = 1505655 / 3
LCM(171,8805) = 501885
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4733,3242?
The HCF of 4733,3242 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 4733/171, 3242/8805?
Answer: GCF of Numerators as per given numbers 4733/171, 3242/8805 is
GCF of Numerators i.e. for 4733,3242 is 1
LCM of denominators i.e. for 171,8805 is 501885.
Thus, GCF of Fractions is 1/501885.Finally, GCF of Fractions for 4733/171, 3242/8805 is 1/501885.