Use our free GCF of Fractions Calculator tool to compute the GCF of 886/284, 504/226 i.e 2/32092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/284, 504/226.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/284,504/226
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 886/284,504/226, numerators are 886,504
Denominators are 284,226
The GCF of 886,504 is 2 .
LCM of 284,226 is 32092.
The greatest common factor of 886/284,504/226 = [GCF of 886,504]/[LCM of 284,226]= 2/32092
Therefore, the GCF of 886/284,504/226 is 2/32092.
To find the highest common factor of 886,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The HCF of 886,504 is 2.
Lets's calculate GCF of 886,504
2 | 886, 504 |
443, 252 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 886,504 . The biggest common factor number is the GCF number.
So the greatest common factor 886,504 is 2.
Lets's calculate LCM of 284,226
2 | 284, 226 |
142, 113 |
∴ So the LCM of the given numbers is 2 x 142 x 113 = 32092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32092
Therefore, the GCF of Fractions 886/284,504/226 is 2/32092
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 284,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,226) x common factors =2 x 1 = 2
LCM(284,226) = ( 284 × 226 ) / 2
LCM(284,226) = 64184 / 2
LCM(284,226) = 32092
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 886,504?
The HCF of 886,504 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 886/284, 504/226?
Answer: GCF of Numerators as per given numbers 886/284, 504/226 is
GCF of Numerators i.e. for 886,504 is 2
LCM of denominators i.e. for 284,226 is 32092.
Thus, GCF of Fractions is 2/32092.Finally, GCF of Fractions for 886/284, 504/226 is 2/32092.