Use our free GCF of Fractions Calculator tool to compute the GCF of 550/464, 182/221 i.e 2/102544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/464, 182/221.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 550/464,182/221
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 550/464,182/221, numerators are 550,182
Denominators are 464,221
The GCF of 550,182 is 2 .
LCM of 464,221 is 102544.
The greatest common factor of 550/464,182/221 = [GCF of 550,182]/[LCM of 464,221]= 2/102544
Therefore, the GCF of 550/464,182/221 is 2/102544.
To find the highest common factor of 550,182, 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 182 are 1, 2, 7, 13, 14, 26, 91, 182
The HCF of 550,182 is 2.
Lets's calculate GCF of 550,182
2 | 550, 182 |
275, 91 |
∴ So the GCF of the given numbers is 2 = 2
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 182
:1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 550,182 . The biggest common factor number is the GCF number.
So the greatest common factor 550,182 is 2.
Lets's calculate LCM of 464,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 102544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102544
Therefore, the GCF of Fractions 550/464,182/221 is 2/102544
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 464,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,221) x common factors =1 x 1 = 1
LCM(464,221) = ( 464 × 221 ) / 1
LCM(464,221) = 102544 / 1
LCM(464,221) = 102544
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 550,182?
The HCF of 550,182 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 550/464, 182/221?
Answer: GCF of Numerators as per given numbers 550/464, 182/221 is
GCF of Numerators i.e. for 550,182 is 2
LCM of denominators i.e. for 464,221 is 102544.
Thus, GCF of Fractions is 2/102544.Finally, GCF of Fractions for 550/464, 182/221 is 2/102544.