GCF of 905/40, 448/68, 413/29
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 905/40, 448/68, 413/29 i.e 1/19720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 905/40, 448/68, 413/29.
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 905/40,448/68,413/29?
Given fractions are 905/40,448/68,413/29
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 905/40,448/68,413/29, numerators are 905,448,413
Denominators are 40,68,29
The GCF of 905,448,413 is 1 .
LCM of 40,68,29 is 19720.
The greatest common factor of 905/40,448/68,413/29 = [GCF of 905,448,413]/[LCM of 40,68,29]= 1/19720
Therefore, the GCF of 905/40,448/68,413/29 is 1/19720.
To find the highest common factor of 905,448,413, we have to find the factors of both numbers and list the highest common factor.
The factors of 905 are 1, 5, 181, 905
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The factors of 413 are 1, 7, 59, 413
The HCF of 905,448,413 is 1.
Lets's calculate GCF of 905,448,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 905,448,413 By Matching Biggest Common Factor Method
Now, list down the factors of 905
:1,5,181,905
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Now, list down the factors of 413
:1,7,59,413
Greatest Common Factor
We found the factors 905,448,413 . The biggest common factor number is the GCF number.
So the greatest common factor 905,448,413 is 1.
Lets's calculate LCM of 40,68,29
| 2 | 40, 68, 29 |
| 2 | 20, 34, 29 |
| 10, 17, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 10 x 17 x 29 = 19720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19720
Therefore, the GCF of Fractions 905/40,448/68,413/29 is 1/19720
Least Common Multiple of 40,68,29 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 40,68,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,68,29) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(40,68,29) x common factors =1 x 4 = 4
LCM(40,68,29) = ( 40 × 68 × 29 ) / 4
LCM(40,68,29) = 78880 / 4
LCM(40,68,29) = 19720
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FAQs on GCF of Fractions of 905/40, 448/68, 413/29
1. What is the HCF of 905,448,413?
The HCF of 905,448,413 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 905/40, 448/68, 413/29?
Answer: GCF of Numerators as per given numbers 905/40, 448/68, 413/29 is
GCF of Numerators i.e. for 905,448,413 is 1
LCM of denominators i.e. for 40,68,29 is 19720.
Thus, GCF of Fractions is 1/19720.Finally, GCF of Fractions for 905/40, 448/68, 413/29 is 1/19720.