Use our free GCF of Fractions Calculator tool to compute the GCF of 176/311, 550/936 i.e 22/291096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/311, 550/936.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 176/311,550/936
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 176/311,550/936, numerators are 176,550
Denominators are 311,936
The GCF of 176,550 is 22 .
LCM of 311,936 is 291096.
The greatest common factor of 176/311,550/936 = [GCF of 176,550]/[LCM of 311,936]= 22/291096
Therefore, the GCF of 176/311,550/936 is 22/291096.
To find the highest common factor of 176,550, we have to find the factors of both numbers and list the highest common factor.
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The HCF of 176,550 is 22.
Lets's calculate GCF of 176,550
2 | 176, 550 |
11 | 88, 275 |
8, 25 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 176,550 . The biggest common factor number is the GCF number.
So the greatest common factor 176,550 is 22.
Lets's calculate LCM of 311,936
Given numbers has no common factors except 1. So, there LCM is their product i.e 291096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/291096
Therefore, the GCF of Fractions 176/311,550/936 is 22/291096
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 311,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,936) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,936) x common factors =1 x 1 = 1
LCM(311,936) = ( 311 × 936 ) / 1
LCM(311,936) = 291096 / 1
LCM(311,936) = 291096
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 176,550?
The HCF of 176,550 is 22
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 176/311, 550/936?
Answer: GCF of Numerators as per given numbers 176/311, 550/936 is
GCF of Numerators i.e. for 176,550 is 22
LCM of denominators i.e. for 311,936 is 291096.
Thus, GCF of Fractions is 22/291096.Finally, GCF of Fractions for 176/311, 550/936 is 22/291096.