Use our free GCF of Fractions Calculator tool to compute the GCF of 417/992, 534/527 i.e 3/16864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 417/992, 534/527.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 417/992,534/527
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 417/992,534/527, numerators are 417,534
Denominators are 992,527
The GCF of 417,534 is 3 .
LCM of 992,527 is 16864.
The greatest common factor of 417/992,534/527 = [GCF of 417,534]/[LCM of 992,527]= 3/16864
Therefore, the GCF of 417/992,534/527 is 3/16864.
To find the highest common factor of 417,534, we have to find the factors of both numbers and list the highest common factor.
The factors of 417 are 1, 3, 139, 417
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The HCF of 417,534 is 3.
Lets's calculate GCF of 417,534
3 | 417, 534 |
139, 178 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 417
:1,3,139,417
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 417,534 . The biggest common factor number is the GCF number.
So the greatest common factor 417,534 is 3.
Lets's calculate LCM of 992,527
31 | 992, 527 |
32, 17 |
∴ So the LCM of the given numbers is 31 x 32 x 17 = 16864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16864
Therefore, the GCF of Fractions 417/992,534/527 is 3/16864
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 992,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,527) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(992,527) x common factors =31 x 1 = 31
LCM(992,527) = ( 992 × 527 ) / 31
LCM(992,527) = 522784 / 31
LCM(992,527) = 16864
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 417,534?
The HCF of 417,534 is 3
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 417/992, 534/527?
Answer: GCF of Numerators as per given numbers 417/992, 534/527 is
GCF of Numerators i.e. for 417,534 is 3
LCM of denominators i.e. for 992,527 is 16864.
Thus, GCF of Fractions is 3/16864.Finally, GCF of Fractions for 417/992, 534/527 is 3/16864.