GCF of 400/41, 905/437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 400/41, 905/437 i.e 5/17917 easily. The following is the detailed procedure to determine the greatest common factor of fractions 400/41, 905/437.
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 400/41,905/437?
Given fractions are 400/41,905/437
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 400/41,905/437, numerators are 400,905
Denominators are 41,437
The GCF of 400,905 is 5 .
LCM of 41,437 is 17917.
The greatest common factor of 400/41,905/437 = [GCF of 400,905]/[LCM of 41,437]= 5/17917
Therefore, the GCF of 400/41,905/437 is 5/17917.
To find the highest common factor of 400,905, we have to find the factors of both numbers and list the highest common factor.
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The factors of 905 are 1, 5, 181, 905
The HCF of 400,905 is 5.
Lets's calculate GCF of 400,905
| 5 | 400, 905 |
| 80, 181 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 400,905 By Matching Biggest Common Factor Method
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Now, list down the factors of 905
:1,5,181,905
Greatest Common Factor
We found the factors 400,905 . The biggest common factor number is the GCF number.
So the greatest common factor 400,905 is 5.
Lets's calculate LCM of 41,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 17917
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17917
Therefore, the GCF of Fractions 400/41,905/437 is 5/17917
Least Common Multiple of 41,437 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 41,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,437) x common factors =1 x 1 = 1
LCM(41,437) = ( 41 × 437 ) / 1
LCM(41,437) = 17917 / 1
LCM(41,437) = 17917
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FAQs on GCF of Fractions of 400/41, 905/437
1. What is the HCF of 400,905?
The HCF of 400,905 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 400/41, 905/437?
Answer: GCF of Numerators as per given numbers 400/41, 905/437 is
GCF of Numerators i.e. for 400,905 is 5
LCM of denominators i.e. for 41,437 is 17917.
Thus, GCF of Fractions is 5/17917.Finally, GCF of Fractions for 400/41, 905/437 is 5/17917.