GCF of 550/43, 405/406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 550/43, 405/406 i.e 5/17458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/43, 405/406.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 550/43,405/406?
Given fractions are 550/43,405/406
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 550/43,405/406, numerators are 550,405
Denominators are 43,406
The GCF of 550,405 is 5 .
LCM of 43,406 is 17458.
The greatest common factor of 550/43,405/406 = [GCF of 550,405]/[LCM of 43,406]= 5/17458
Therefore, the GCF of 550/43,405/406 is 5/17458.
To find the highest common factor of 550,405, 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 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 550,405 is 5.
Lets's calculate GCF of 550,405
| 5 | 550, 405 |
| 110, 81 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 550,405 By Matching Biggest Common Factor Method
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 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 550,405 . The biggest common factor number is the GCF number.
So the greatest common factor 550,405 is 5.
Lets's calculate LCM of 43,406
Given numbers has no common factors except 1. So, there LCM is their product i.e 17458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17458
Therefore, the GCF of Fractions 550/43,405/406 is 5/17458
Least Common Multiple of 43,406 with GCF Formula
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 43,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,406) x common factors =1 x 1 = 1
LCM(43,406) = ( 43 × 406 ) / 1
LCM(43,406) = 17458 / 1
LCM(43,406) = 17458
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FAQs on GCF of Fractions of 550/43, 405/406
1. What is the HCF of 550,405?
The HCF of 550,405 is 5
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 550/43, 405/406?
Answer: GCF of Numerators as per given numbers 550/43, 405/406 is
GCF of Numerators i.e. for 550,405 is 5
LCM of denominators i.e. for 43,406 is 17458.
Thus, GCF of Fractions is 5/17458.Finally, GCF of Fractions for 550/43, 405/406 is 5/17458.