Use our free GCF of Fractions Calculator tool to compute the GCF of 542/528, 828/366 i.e 2/32208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 542/528, 828/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 542/528,828/366
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 542/528,828/366, numerators are 542,828
Denominators are 528,366
The GCF of 542,828 is 2 .
LCM of 528,366 is 32208.
The greatest common factor of 542/528,828/366 = [GCF of 542,828]/[LCM of 528,366]= 2/32208
Therefore, the GCF of 542/528,828/366 is 2/32208.
To find the highest common factor of 542,828, we have to find the factors of both numbers and list the highest common factor.
The factors of 542 are 1, 2, 271, 542
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The HCF of 542,828 is 2.
Lets's calculate GCF of 542,828
2 | 542, 828 |
271, 414 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 542
:1,2,271,542
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 542,828 . The biggest common factor number is the GCF number.
So the greatest common factor 542,828 is 2.
Lets's calculate LCM of 528,366
2 | 528, 366 |
3 | 264, 183 |
88, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 88 x 61 = 32208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32208
Therefore, the GCF of Fractions 542/528,828/366 is 2/32208
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 528,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,366) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(528,366) x common factors =6 x 1 = 6
LCM(528,366) = ( 528 × 366 ) / 6
LCM(528,366) = 193248 / 6
LCM(528,366) = 32208
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 542,828?
The HCF of 542,828 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 542/528, 828/366?
Answer: GCF of Numerators as per given numbers 542/528, 828/366 is
GCF of Numerators i.e. for 542,828 is 2
LCM of denominators i.e. for 528,366 is 32208.
Thus, GCF of Fractions is 2/32208.Finally, GCF of Fractions for 542/528, 828/366 is 2/32208.