Use our free GCF of Fractions Calculator tool to compute the GCF of 1497/159, 3788/2769 i.e 1/146757 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1497/159, 3788/2769.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1497/159,3788/2769
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 1497/159,3788/2769, numerators are 1497,3788
Denominators are 159,2769
The GCF of 1497,3788 is 1 .
LCM of 159,2769 is 146757.
The greatest common factor of 1497/159,3788/2769 = [GCF of 1497,3788]/[LCM of 159,2769]= 1/146757
Therefore, the GCF of 1497/159,3788/2769 is 1/146757.
To find the highest common factor of 1497,3788, we have to find the factors of both numbers and list the highest common factor.
The factors of 1497 are 1, 3, 499, 1497
The factors of 3788 are 1, 2, 4, 947, 1894, 3788
The HCF of 1497,3788 is 1.
Lets's calculate GCF of 1497,3788
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1497
:1,3,499,1497
Now, list down the factors of 3788
:1,2,4,947,1894,3788
Greatest Common Factor
We found the factors 1497,3788 . The biggest common factor number is the GCF number.
So the greatest common factor 1497,3788 is 1.
Lets's calculate LCM of 159,2769
3 | 159, 2769 |
53, 923 |
∴ So the LCM of the given numbers is 3 x 53 x 923 = 146757
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146757
Therefore, the GCF of Fractions 1497/159,3788/2769 is 1/146757
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 159,2769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,2769) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,2769) x common factors =3 x 1 = 3
LCM(159,2769) = ( 159 × 2769 ) / 3
LCM(159,2769) = 440271 / 3
LCM(159,2769) = 146757
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1497,3788?
The HCF of 1497,3788 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 1497/159, 3788/2769?
Answer: GCF of Numerators as per given numbers 1497/159, 3788/2769 is
GCF of Numerators i.e. for 1497,3788 is 1
LCM of denominators i.e. for 159,2769 is 146757.
Thus, GCF of Fractions is 1/146757.Finally, GCF of Fractions for 1497/159, 3788/2769 is 1/146757.