GCF of 4071/404, 3726/3292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4071/404, 3726/3292 i.e 69/332492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4071/404, 3726/3292.
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 4071/404,3726/3292?
Given fractions are 4071/404,3726/3292
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 4071/404,3726/3292, numerators are 4071,3726
Denominators are 404,3292
The GCF of 4071,3726 is 69 .
LCM of 404,3292 is 332492.
The greatest common factor of 4071/404,3726/3292 = [GCF of 4071,3726]/[LCM of 404,3292]= 69/332492
Therefore, the GCF of 4071/404,3726/3292 is 69/332492.
To find the highest common factor of 4071,3726, we have to find the factors of both numbers and list the highest common factor.
The factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071
The factors of 3726 are 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726
The HCF of 4071,3726 is 69.
Lets's calculate GCF of 4071,3726
| 3 | 4071, 3726 |
| 23 | 1357, 1242 |
| 59, 54 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Greatest Common Factor of 4071,3726 By Matching Biggest Common Factor Method
Now, list down the factors of 4071
:1,3,23,59,69,177,1357,4071
Now, list down the factors of 3726
:1,2,3,6,9,18,23,27,46,54,69,81,138,162,207,414,621,1242,1863,3726
Greatest Common Factor
We found the factors 4071,3726 . The biggest common factor number is the GCF number.
So the greatest common factor 4071,3726 is 69.
Lets's calculate LCM of 404,3292
| 2 | 404, 3292 |
| 2 | 202, 1646 |
| 101, 823 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 823 = 332492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/332492
Therefore, the GCF of Fractions 4071/404,3726/3292 is 69/332492
Least Common Multiple of 404,3292 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 404,3292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,3292) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(404,3292) x common factors =4 x 1 = 4
LCM(404,3292) = ( 404 × 3292 ) / 4
LCM(404,3292) = 1329968 / 4
LCM(404,3292) = 332492
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FAQs on GCF of Fractions of 4071/404, 3726/3292
1. What is the HCF of 4071,3726?
The HCF of 4071,3726 is 69
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 4071/404, 3726/3292?
Answer: GCF of Numerators as per given numbers 4071/404, 3726/3292 is
GCF of Numerators i.e. for 4071,3726 is 69
LCM of denominators i.e. for 404,3292 is 332492.
Thus, GCF of Fractions is 69/332492.Finally, GCF of Fractions for 4071/404, 3726/3292 is 69/332492.