Use our free GCF of Fractions Calculator tool to compute the GCF of 466/404, 874/400 i.e 2/40400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 466/404, 874/400.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 466/404,874/400
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 466/404,874/400, numerators are 466,874
Denominators are 404,400
The GCF of 466,874 is 2 .
LCM of 404,400 is 40400.
The greatest common factor of 466/404,874/400 = [GCF of 466,874]/[LCM of 404,400]= 2/40400
Therefore, the GCF of 466/404,874/400 is 2/40400.
To find the highest common factor of 466,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 466 are 1, 2, 233, 466
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 466,874 is 2.
Lets's calculate GCF of 466,874
2 | 466, 874 |
233, 437 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 466
:1,2,233,466
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 466,874 . The biggest common factor number is the GCF number.
So the greatest common factor 466,874 is 2.
Lets's calculate LCM of 404,400
2 | 404, 400 |
2 | 202, 200 |
101, 100 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 100 = 40400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40400
Therefore, the GCF of Fractions 466/404,874/400 is 2/40400
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 404,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,400) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(404,400) x common factors =4 x 1 = 4
LCM(404,400) = ( 404 × 400 ) / 4
LCM(404,400) = 161600 / 4
LCM(404,400) = 40400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 466,874?
The HCF of 466,874 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 466/404, 874/400?
Answer: GCF of Numerators as per given numbers 466/404, 874/400 is
GCF of Numerators i.e. for 466,874 is 2
LCM of denominators i.e. for 404,400 is 40400.
Thus, GCF of Fractions is 2/40400.Finally, GCF of Fractions for 466/404, 874/400 is 2/40400.