Use our free GCF of Fractions Calculator tool to compute the GCF of 555/551, 407/223 i.e 37/122873 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/551, 407/223.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/551,407/223
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 555/551,407/223, numerators are 555,407
Denominators are 551,223
The GCF of 555,407 is 37 .
LCM of 551,223 is 122873.
The greatest common factor of 555/551,407/223 = [GCF of 555,407]/[LCM of 551,223]= 37/122873
Therefore, the GCF of 555/551,407/223 is 37/122873.
To find the highest common factor of 555,407, we have to find the factors of both numbers and list the highest common factor.
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The factors of 407 are 1, 11, 37, 407
The HCF of 555,407 is 37.
Lets's calculate GCF of 555,407
37 | 555, 407 |
15, 11 |
∴ So the GCF of the given numbers is 37 = 37
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Now, list down the factors of 407
:1,11,37,407
Greatest Common Factor
We found the factors 555,407 . The biggest common factor number is the GCF number.
So the greatest common factor 555,407 is 37.
Lets's calculate LCM of 551,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 122873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/122873
Therefore, the GCF of Fractions 555/551,407/223 is 37/122873
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 551,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,223) x common factors =1 x 1 = 1
LCM(551,223) = ( 551 × 223 ) / 1
LCM(551,223) = 122873 / 1
LCM(551,223) = 122873
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 555,407?
The HCF of 555,407 is 37
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 555/551, 407/223?
Answer: GCF of Numerators as per given numbers 555/551, 407/223 is
GCF of Numerators i.e. for 555,407 is 37
LCM of denominators i.e. for 551,223 is 122873.
Thus, GCF of Fractions is 37/122873.Finally, GCF of Fractions for 555/551, 407/223 is 37/122873.