Use our free GCF of Fractions Calculator tool to compute the GCF of 733/627, 189/507 i.e 1/105963 easily. The following is the detailed procedure to determine the greatest common factor of fractions 733/627, 189/507.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 733/627,189/507
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 733/627,189/507, numerators are 733,189
Denominators are 627,507
The GCF of 733,189 is 1 .
LCM of 627,507 is 105963.
The greatest common factor of 733/627,189/507 = [GCF of 733,189]/[LCM of 627,507]= 1/105963
Therefore, the GCF of 733/627,189/507 is 1/105963.
To find the highest common factor of 733,189, we have to find the factors of both numbers and list the highest common factor.
The factors of 733 are 1, 733
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189
The HCF of 733,189 is 1.
Lets's calculate GCF of 733,189
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 733
:1,733
Now, list down the factors of 189
:1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 733,189 . The biggest common factor number is the GCF number.
So the greatest common factor 733,189 is 1.
Lets's calculate LCM of 627,507
3 | 627, 507 |
209, 169 |
∴ So the LCM of the given numbers is 3 x 209 x 169 = 105963
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105963
Therefore, the GCF of Fractions 733/627,189/507 is 1/105963
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 627,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,507) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(627,507) x common factors =3 x 1 = 3
LCM(627,507) = ( 627 × 507 ) / 3
LCM(627,507) = 317889 / 3
LCM(627,507) = 105963
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 733,189?
The HCF of 733,189 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 733/627, 189/507?
Answer: GCF of Numerators as per given numbers 733/627, 189/507 is
GCF of Numerators i.e. for 733,189 is 1
LCM of denominators i.e. for 627,507 is 105963.
Thus, GCF of Fractions is 1/105963.Finally, GCF of Fractions for 733/627, 189/507 is 1/105963.