Use our free GCF of Fractions Calculator tool to compute the GCF of 677/423, 576/517 i.e 1/4653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 677/423, 576/517.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 677/423,576/517
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 677/423,576/517, numerators are 677,576
Denominators are 423,517
The GCF of 677,576 is 1 .
LCM of 423,517 is 4653.
The greatest common factor of 677/423,576/517 = [GCF of 677,576]/[LCM of 423,517]= 1/4653
Therefore, the GCF of 677/423,576/517 is 1/4653.
To find the highest common factor of 677,576, we have to find the factors of both numbers and list the highest common factor.
The factors of 677 are 1, 677
The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
The HCF of 677,576 is 1.
Lets's calculate GCF of 677,576
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 677
:1,677
Now, list down the factors of 576
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 677,576 . The biggest common factor number is the GCF number.
So the greatest common factor 677,576 is 1.
Lets's calculate LCM of 423,517
47 | 423, 517 |
9, 11 |
∴ So the LCM of the given numbers is 47 x 9 x 11 = 4653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4653
Therefore, the GCF of Fractions 677/423,576/517 is 1/4653
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 423,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,517) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(423,517) x common factors =47 x 1 = 47
LCM(423,517) = ( 423 × 517 ) / 47
LCM(423,517) = 218691 / 47
LCM(423,517) = 4653
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 677,576?
The HCF of 677,576 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 677/423, 576/517?
Answer: GCF of Numerators as per given numbers 677/423, 576/517 is
GCF of Numerators i.e. for 677,576 is 1
LCM of denominators i.e. for 423,517 is 4653.
Thus, GCF of Fractions is 1/4653.Finally, GCF of Fractions for 677/423, 576/517 is 1/4653.