Use our free GCF of Fractions Calculator tool to compute the GCF of 485/99, 906/27, 556/28 i.e 1/8316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 485/99, 906/27, 556/28.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 485/99,906/27,556/28
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 485/99,906/27,556/28, numerators are 485,906,556
Denominators are 99,27,28
The GCF of 485,906,556 is 1 .
LCM of 99,27,28 is 8316.
The greatest common factor of 485/99,906/27,556/28 = [GCF of 485,906,556]/[LCM of 99,27,28]= 1/8316
Therefore, the GCF of 485/99,906/27,556/28 is 1/8316.
To find the highest common factor of 485,906,556, we have to find the factors of both numbers and list the highest common factor.
The factors of 485 are 1, 5, 97, 485
The factors of 906 are 1, 2, 3, 6, 151, 302, 453, 906
The factors of 556 are 1, 2, 4, 139, 278, 556
The HCF of 485,906,556 is 1.
Lets's calculate GCF of 485,906,556
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 485
:1,5,97,485
Now, list down the factors of 906
:1,2,3,6,151,302,453,906
Now, list down the factors of 556
:1,2,4,139,278,556
Greatest Common Factor
We found the factors 485,906,556 . The biggest common factor number is the GCF number.
So the greatest common factor 485,906,556 is 1.
Lets's calculate LCM of 99,27,28
3 | 99, 27, 28 |
3 | 33, 9, 28 |
11, 3, 28 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 3 x 28 = 8316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8316
Therefore, the GCF of Fractions 485/99,906/27,556/28 is 1/8316
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 99,27,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,27,28) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(99,27,28) x common factors =1 x 9 = 9
LCM(99,27,28) = ( 99 × 27 × 28 ) / 9
LCM(99,27,28) = 74844 / 9
LCM(99,27,28) = 8316
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 485,906,556?
The HCF of 485,906,556 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 485/99, 906/27, 556/28?
Answer: GCF of Numerators as per given numbers 485/99, 906/27, 556/28 is
GCF of Numerators i.e. for 485,906,556 is 1
LCM of denominators i.e. for 99,27,28 is 8316.
Thus, GCF of Fractions is 1/8316.Finally, GCF of Fractions for 485/99, 906/27, 556/28 is 1/8316.