Use our free GCF of Fractions Calculator tool to compute the GCF of 387/704, 382/253 i.e 1/16192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 387/704, 382/253.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 387/704,382/253
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 387/704,382/253, numerators are 387,382
Denominators are 704,253
The GCF of 387,382 is 1 .
LCM of 704,253 is 16192.
The greatest common factor of 387/704,382/253 = [GCF of 387,382]/[LCM of 704,253]= 1/16192
Therefore, the GCF of 387/704,382/253 is 1/16192.
To find the highest common factor of 387,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 387 are 1, 3, 9, 43, 129, 387
The factors of 382 are 1, 2, 191, 382
The HCF of 387,382 is 1.
Lets's calculate GCF of 387,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 387
:1,3,9,43,129,387
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 387,382 . The biggest common factor number is the GCF number.
So the greatest common factor 387,382 is 1.
Lets's calculate LCM of 704,253
11 | 704, 253 |
64, 23 |
∴ So the LCM of the given numbers is 11 x 64 x 23 = 16192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16192
Therefore, the GCF of Fractions 387/704,382/253 is 1/16192
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 704,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,253) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(704,253) x common factors =11 x 1 = 11
LCM(704,253) = ( 704 × 253 ) / 11
LCM(704,253) = 178112 / 11
LCM(704,253) = 16192
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 387,382?
The HCF of 387,382 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 387/704, 382/253?
Answer: GCF of Numerators as per given numbers 387/704, 382/253 is
GCF of Numerators i.e. for 387,382 is 1
LCM of denominators i.e. for 704,253 is 16192.
Thus, GCF of Fractions is 1/16192.Finally, GCF of Fractions for 387/704, 382/253 is 1/16192.