Use our free GCF of Fractions Calculator tool to compute the GCF of 677/992, 582/366 i.e 1/181536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 677/992, 582/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 677/992,582/366
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 677/992,582/366, numerators are 677,582
Denominators are 992,366
The GCF of 677,582 is 1 .
LCM of 992,366 is 181536.
The greatest common factor of 677/992,582/366 = [GCF of 677,582]/[LCM of 992,366]= 1/181536
Therefore, the GCF of 677/992,582/366 is 1/181536.
To find the highest common factor of 677,582, 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 582 are 1, 2, 3, 6, 97, 194, 291, 582
The HCF of 677,582 is 1.
Lets's calculate GCF of 677,582
∴ 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 582
:1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 677,582 . The biggest common factor number is the GCF number.
So the greatest common factor 677,582 is 1.
Lets's calculate LCM of 992,366
2 | 992, 366 |
496, 183 |
∴ So the LCM of the given numbers is 2 x 496 x 183 = 181536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181536
Therefore, the GCF of Fractions 677/992,582/366 is 1/181536
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 992,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(992,366) x common factors =2 x 1 = 2
LCM(992,366) = ( 992 × 366 ) / 2
LCM(992,366) = 363072 / 2
LCM(992,366) = 181536
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 677,582?
The HCF of 677,582 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 677/992, 582/366?
Answer: GCF of Numerators as per given numbers 677/992, 582/366 is
GCF of Numerators i.e. for 677,582 is 1
LCM of denominators i.e. for 992,366 is 181536.
Thus, GCF of Fractions is 1/181536.Finally, GCF of Fractions for 677/992, 582/366 is 1/181536.