GCF of 44/20, 455/48, 405/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 44/20, 455/48, 405/505 i.e 1/24240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/20, 455/48, 405/505.
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 44/20,455/48,405/505?
Given fractions are 44/20,455/48,405/505
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 44/20,455/48,405/505, numerators are 44,455,405
Denominators are 20,48,505
The GCF of 44,455,405 is 1 .
LCM of 20,48,505 is 24240.
The greatest common factor of 44/20,455/48,405/505 = [GCF of 44,455,405]/[LCM of 20,48,505]= 1/24240
Therefore, the GCF of 44/20,455/48,405/505 is 1/24240.
To find the highest common factor of 44,455,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 44,455,405 is 1.
Lets's calculate GCF of 44,455,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 44,455,405 By Matching Biggest Common Factor Method
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 44,455,405 . The biggest common factor number is the GCF number.
So the greatest common factor 44,455,405 is 1.
Lets's calculate LCM of 20,48,505
| 2 | 20, 48, 505 |
| 2 | 10, 24, 505 |
| 5 | 5, 12, 505 |
| 1, 12, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 12 x 101 = 24240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24240
Therefore, the GCF of Fractions 44/20,455/48,405/505 is 1/24240
Least Common Multiple of 20,48,505 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 20,48,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,48,505) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(20,48,505) x common factors =1 x 20 = 20
LCM(20,48,505) = ( 20 × 48 × 505 ) / 20
LCM(20,48,505) = 484800 / 20
LCM(20,48,505) = 24240
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FAQs on GCF of Fractions of 44/20, 455/48, 405/505
1. What is the HCF of 44,455,405?
The HCF of 44,455,405 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 44/20, 455/48, 405/505?
Answer: GCF of Numerators as per given numbers 44/20, 455/48, 405/505 is
GCF of Numerators i.e. for 44,455,405 is 1
LCM of denominators i.e. for 20,48,505 is 24240.
Thus, GCF of Fractions is 1/24240.Finally, GCF of Fractions for 44/20, 455/48, 405/505 is 1/24240.