Use our free GCF of Fractions Calculator tool to compute the GCF of 550/478, 941/178 i.e 1/42542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/478, 941/178.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 550/478,941/178
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 550/478,941/178, numerators are 550,941
Denominators are 478,178
The GCF of 550,941 is 1 .
LCM of 478,178 is 42542.
The greatest common factor of 550/478,941/178 = [GCF of 550,941]/[LCM of 478,178]= 1/42542
Therefore, the GCF of 550/478,941/178 is 1/42542.
To find the highest common factor of 550,941, we have to find the factors of both numbers and list the highest common factor.
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The factors of 941 are 1, 941
The HCF of 550,941 is 1.
Lets's calculate GCF of 550,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Now, list down the factors of 941
:1,941
Greatest Common Factor
We found the factors 550,941 . The biggest common factor number is the GCF number.
So the greatest common factor 550,941 is 1.
Lets's calculate LCM of 478,178
2 | 478, 178 |
239, 89 |
∴ So the LCM of the given numbers is 2 x 239 x 89 = 42542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42542
Therefore, the GCF of Fractions 550/478,941/178 is 1/42542
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 478,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,178) x common factors =2 x 1 = 2
LCM(478,178) = ( 478 × 178 ) / 2
LCM(478,178) = 85084 / 2
LCM(478,178) = 42542
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 550,941?
The HCF of 550,941 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 550/478, 941/178?
Answer: GCF of Numerators as per given numbers 550/478, 941/178 is
GCF of Numerators i.e. for 550,941 is 1
LCM of denominators i.e. for 478,178 is 42542.
Thus, GCF of Fractions is 1/42542.Finally, GCF of Fractions for 550/478, 941/178 is 1/42542.