Use our free GCF of Fractions Calculator tool to compute the GCF of 28/219, 957/906, 924/558 i.e 1/6150834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/219, 957/906, 924/558.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/219,957/906,924/558
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 28/219,957/906,924/558, numerators are 28,957,924
Denominators are 219,906,558
The GCF of 28,957,924 is 1 .
LCM of 219,906,558 is 6150834.
The greatest common factor of 28/219,957/906,924/558 = [GCF of 28,957,924]/[LCM of 219,906,558]= 1/6150834
Therefore, the GCF of 28/219,957/906,924/558 is 1/6150834.
To find the highest common factor of 28,957,924, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
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 28,957,924 is 1.
Lets's calculate GCF of 28,957,924
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
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 28,957,924 . The biggest common factor number is the GCF number.
So the greatest common factor 28,957,924 is 1.
Lets's calculate LCM of 219,906,558
2 | 219, 906, 558 |
3 | 219, 453, 279 |
73, 151, 93 |
∴ So the LCM of the given numbers is 2 x 3 x 73 x 151 x 93 = 6150834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6150834
Therefore, the GCF of Fractions 28/219,957/906,924/558 is 1/6150834
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 219,906,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,906,558) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(219,906,558) x common factors =3 x 6 = 18
LCM(219,906,558) = ( 219 × 906 × 558 ) / 18
LCM(219,906,558) = 110715012 / 18
LCM(219,906,558) = 6150834
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,957,924?
The HCF of 28,957,924 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 28/219, 957/906, 924/558?
Answer: GCF of Numerators as per given numbers 28/219, 957/906, 924/558 is
GCF of Numerators i.e. for 28,957,924 is 1
LCM of denominators i.e. for 219,906,558 is 6150834.
Thus, GCF of Fractions is 1/6150834.Finally, GCF of Fractions for 28/219, 957/906, 924/558 is 1/6150834.