Use our free GCF of Fractions Calculator tool to compute the GCF of 176/442, 343/803 i.e 1/354926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/442, 343/803.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 176/442,343/803
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 176/442,343/803, numerators are 176,343
Denominators are 442,803
The GCF of 176,343 is 1 .
LCM of 442,803 is 354926.
The greatest common factor of 176/442,343/803 = [GCF of 176,343]/[LCM of 442,803]= 1/354926
Therefore, the GCF of 176/442,343/803 is 1/354926.
To find the highest common factor of 176,343, 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 343 are 1, 7, 49, 343
The HCF of 176,343 is 1.
Lets's calculate GCF of 176,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Now, list down the factors of 343
:1,7,49,343
Greatest Common Factor
We found the factors 176,343 . The biggest common factor number is the GCF number.
So the greatest common factor 176,343 is 1.
Lets's calculate LCM of 442,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 354926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354926
Therefore, the GCF of Fractions 176/442,343/803 is 1/354926
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 442,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(442,803) x common factors =1 x 1 = 1
LCM(442,803) = ( 442 × 803 ) / 1
LCM(442,803) = 354926 / 1
LCM(442,803) = 354926
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 176,343?
The HCF of 176,343 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 176/442, 343/803?
Answer: GCF of Numerators as per given numbers 176/442, 343/803 is
GCF of Numerators i.e. for 176,343 is 1
LCM of denominators i.e. for 442,803 is 354926.
Thus, GCF of Fractions is 1/354926.Finally, GCF of Fractions for 176/442, 343/803 is 1/354926.