GCF of 404/413, 448/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 404/413, 448/305 i.e 4/125965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/413, 448/305.
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 404/413,448/305?
Given fractions are 404/413,448/305
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 404/413,448/305, numerators are 404,448
Denominators are 413,305
The GCF of 404,448 is 4 .
LCM of 413,305 is 125965.
The greatest common factor of 404/413,448/305 = [GCF of 404,448]/[LCM of 413,305]= 4/125965
Therefore, the GCF of 404/413,448/305 is 4/125965.
To find the highest common factor of 404,448, we have to find the factors of both numbers and list the highest common factor.
The factors of 404 are 1, 2, 4, 101, 202, 404
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The HCF of 404,448 is 4.
Lets's calculate GCF of 404,448
| 2 | 404, 448 |
| 2 | 202, 224 |
| 101, 112 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 404,448 By Matching Biggest Common Factor Method
Now, list down the factors of 404
:1,2,4,101,202,404
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 404,448 . The biggest common factor number is the GCF number.
So the greatest common factor 404,448 is 4.
Lets's calculate LCM of 413,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 125965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/125965
Therefore, the GCF of Fractions 404/413,448/305 is 4/125965
Least Common Multiple of 413,305 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 413,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,305) x common factors =1 x 1 = 1
LCM(413,305) = ( 413 × 305 ) / 1
LCM(413,305) = 125965 / 1
LCM(413,305) = 125965
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FAQs on GCF of Fractions of 404/413, 448/305
1. What is the HCF of 404,448?
The HCF of 404,448 is 4
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 404/413, 448/305?
Answer: GCF of Numerators as per given numbers 404/413, 448/305 is
GCF of Numerators i.e. for 404,448 is 4
LCM of denominators i.e. for 413,305 is 125965.
Thus, GCF of Fractions is 4/125965.Finally, GCF of Fractions for 404/413, 448/305 is 4/125965.