Use our free GCF of Fractions Calculator tool to compute the GCF of 533/174, 214/472 i.e 1/41064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 533/174, 214/472.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 533/174,214/472
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 533/174,214/472, numerators are 533,214
Denominators are 174,472
The GCF of 533,214 is 1 .
LCM of 174,472 is 41064.
The greatest common factor of 533/174,214/472 = [GCF of 533,214]/[LCM of 174,472]= 1/41064
Therefore, the GCF of 533/174,214/472 is 1/41064.
To find the highest common factor of 533,214, we have to find the factors of both numbers and list the highest common factor.
The factors of 533 are 1, 13, 41, 533
The factors of 214 are 1, 2, 107, 214
The HCF of 533,214 is 1.
Lets's calculate GCF of 533,214
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 533
:1,13,41,533
Now, list down the factors of 214
:1,2,107,214
Greatest Common Factor
We found the factors 533,214 . The biggest common factor number is the GCF number.
So the greatest common factor 533,214 is 1.
Lets's calculate LCM of 174,472
2 | 174, 472 |
87, 236 |
∴ So the LCM of the given numbers is 2 x 87 x 236 = 41064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41064
Therefore, the GCF of Fractions 533/174,214/472 is 1/41064
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 174,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,472) x common factors =2 x 1 = 2
LCM(174,472) = ( 174 × 472 ) / 2
LCM(174,472) = 82128 / 2
LCM(174,472) = 41064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 533,214?
The HCF of 533,214 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 533/174, 214/472?
Answer: GCF of Numerators as per given numbers 533/174, 214/472 is
GCF of Numerators i.e. for 533,214 is 1
LCM of denominators i.e. for 174,472 is 41064.
Thus, GCF of Fractions is 1/41064.Finally, GCF of Fractions for 533/174, 214/472 is 1/41064.