Use our free GCF of Fractions Calculator tool to compute the GCF of 568/363, 466/862 i.e 2/312906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 568/363, 466/862.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 568/363,466/862
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 568/363,466/862, numerators are 568,466
Denominators are 363,862
The GCF of 568,466 is 2 .
LCM of 363,862 is 312906.
The greatest common factor of 568/363,466/862 = [GCF of 568,466]/[LCM of 363,862]= 2/312906
Therefore, the GCF of 568/363,466/862 is 2/312906.
To find the highest common factor of 568,466, we have to find the factors of both numbers and list the highest common factor.
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The factors of 466 are 1, 2, 233, 466
The HCF of 568,466 is 2.
Lets's calculate GCF of 568,466
2 | 568, 466 |
284, 233 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Now, list down the factors of 466
:1,2,233,466
Greatest Common Factor
We found the factors 568,466 . The biggest common factor number is the GCF number.
So the greatest common factor 568,466 is 2.
Lets's calculate LCM of 363,862
Given numbers has no common factors except 1. So, there LCM is their product i.e 312906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/312906
Therefore, the GCF of Fractions 568/363,466/862 is 2/312906
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 363,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,862) x common factors =1 x 1 = 1
LCM(363,862) = ( 363 × 862 ) / 1
LCM(363,862) = 312906 / 1
LCM(363,862) = 312906
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 568,466?
The HCF of 568,466 is 2
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 568/363, 466/862?
Answer: GCF of Numerators as per given numbers 568/363, 466/862 is
GCF of Numerators i.e. for 568,466 is 2
LCM of denominators i.e. for 363,862 is 312906.
Thus, GCF of Fractions is 2/312906.Finally, GCF of Fractions for 568/363, 466/862 is 2/312906.