Use our free GCF of Fractions Calculator tool to compute the GCF of 528/828, 924/556 i.e 132/115092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/828, 924/556.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 528/828,924/556
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 528/828,924/556, numerators are 528,924
Denominators are 828,556
The GCF of 528,924 is 132 .
LCM of 828,556 is 115092.
The greatest common factor of 528/828,924/556 = [GCF of 528,924]/[LCM of 828,556]= 132/115092
Therefore, the GCF of 528/828,924/556 is 132/115092.
To find the highest common factor of 528,924, we have to find the factors of both numbers and list the highest common factor.
The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The HCF of 528,924 is 132.
Lets's calculate GCF of 528,924
2 | 528, 924 |
2 | 264, 462 |
3 | 132, 231 |
11 | 44, 77 |
4, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132
Now, list down the factors of 528
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 528,924 . The biggest common factor number is the GCF number.
So the greatest common factor 528,924 is 132.
Lets's calculate LCM of 828,556
2 | 828, 556 |
2 | 414, 278 |
207, 139 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 139 = 115092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/115092
Therefore, the GCF of Fractions 528/828,924/556 is 132/115092
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 828,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,556) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,556) x common factors =4 x 1 = 4
LCM(828,556) = ( 828 × 556 ) / 4
LCM(828,556) = 460368 / 4
LCM(828,556) = 115092
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 528,924?
The HCF of 528,924 is 132
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 528/828, 924/556?
Answer: GCF of Numerators as per given numbers 528/828, 924/556 is
GCF of Numerators i.e. for 528,924 is 132
LCM of denominators i.e. for 828,556 is 115092.
Thus, GCF of Fractions is 132/115092.Finally, GCF of Fractions for 528/828, 924/556 is 132/115092.