GCF of 6061/484, 3801/324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6061/484, 3801/324 i.e 1/39204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6061/484, 3801/324.
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 6061/484,3801/324?
Given fractions are 6061/484,3801/324
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 6061/484,3801/324, numerators are 6061,3801
Denominators are 484,324
The GCF of 6061,3801 is 1 .
LCM of 484,324 is 39204.
The greatest common factor of 6061/484,3801/324 = [GCF of 6061,3801]/[LCM of 484,324]= 1/39204
Therefore, the GCF of 6061/484,3801/324 is 1/39204.
To find the highest common factor of 6061,3801, we have to find the factors of both numbers and list the highest common factor.
The factors of 6061 are 1, 11, 19, 29, 209, 319, 551, 6061
The factors of 3801 are 1, 3, 7, 21, 181, 543, 1267, 3801
The HCF of 6061,3801 is 1.
Lets's calculate GCF of 6061,3801
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6061,3801 By Matching Biggest Common Factor Method
Now, list down the factors of 6061
:1,11,19,29,209,319,551,6061
Now, list down the factors of 3801
:1,3,7,21,181,543,1267,3801
Greatest Common Factor
We found the factors 6061,3801 . The biggest common factor number is the GCF number.
So the greatest common factor 6061,3801 is 1.
Lets's calculate LCM of 484,324
| 2 | 484, 324 |
| 2 | 242, 162 |
| 121, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 121 x 81 = 39204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39204
Therefore, the GCF of Fractions 6061/484,3801/324 is 1/39204
Least Common Multiple of 484,324 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 484,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,324) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(484,324) x common factors =4 x 1 = 4
LCM(484,324) = ( 484 × 324 ) / 4
LCM(484,324) = 156816 / 4
LCM(484,324) = 39204
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FAQs on GCF of Fractions of 6061/484, 3801/324
1. What is the HCF of 6061,3801?
The HCF of 6061,3801 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 6061/484, 3801/324?
Answer: GCF of Numerators as per given numbers 6061/484, 3801/324 is
GCF of Numerators i.e. for 6061,3801 is 1
LCM of denominators i.e. for 484,324 is 39204.
Thus, GCF of Fractions is 1/39204.Finally, GCF of Fractions for 6061/484, 3801/324 is 1/39204.