Use our free GCF of Fractions Calculator tool to compute the GCF of 492/528, 556/394 i.e 4/104016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 492/528, 556/394.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 492/528,556/394
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 492/528,556/394, numerators are 492,556
Denominators are 528,394
The GCF of 492,556 is 4 .
LCM of 528,394 is 104016.
The greatest common factor of 492/528,556/394 = [GCF of 492,556]/[LCM of 528,394]= 4/104016
Therefore, the GCF of 492/528,556/394 is 4/104016.
To find the highest common factor of 492,556, we have to find the factors of both numbers and list the highest common factor.
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
The factors of 556 are 1, 2, 4, 139, 278, 556
The HCF of 492,556 is 4.
Lets's calculate GCF of 492,556
2 | 492, 556 |
2 | 246, 278 |
123, 139 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 492
:1,2,3,4,6,12,41,82,123,164,246,492
Now, list down the factors of 556
:1,2,4,139,278,556
Greatest Common Factor
We found the factors 492,556 . The biggest common factor number is the GCF number.
So the greatest common factor 492,556 is 4.
Lets's calculate LCM of 528,394
2 | 528, 394 |
264, 197 |
∴ So the LCM of the given numbers is 2 x 264 x 197 = 104016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/104016
Therefore, the GCF of Fractions 492/528,556/394 is 4/104016
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 528,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,394) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(528,394) x common factors =2 x 1 = 2
LCM(528,394) = ( 528 × 394 ) / 2
LCM(528,394) = 208032 / 2
LCM(528,394) = 104016
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 492,556?
The HCF of 492,556 is 4
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 492/528, 556/394?
Answer: GCF of Numerators as per given numbers 492/528, 556/394 is
GCF of Numerators i.e. for 492,556 is 4
LCM of denominators i.e. for 528,394 is 104016.
Thus, GCF of Fractions is 4/104016.Finally, GCF of Fractions for 492/528, 556/394 is 4/104016.