GCF of 8441/231, 2171/2121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8441/231, 2171/2121 i.e 1/23331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8441/231, 2171/2121.
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 8441/231,2171/2121?
Given fractions are 8441/231,2171/2121
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 8441/231,2171/2121, numerators are 8441,2171
Denominators are 231,2121
The GCF of 8441,2171 is 1 .
LCM of 231,2121 is 23331.
The greatest common factor of 8441/231,2171/2121 = [GCF of 8441,2171]/[LCM of 231,2121]= 1/23331
Therefore, the GCF of 8441/231,2171/2121 is 1/23331.
To find the highest common factor of 8441,2171, we have to find the factors of both numbers and list the highest common factor.
The factors of 8441 are 1, 23, 367, 8441
The factors of 2171 are 1, 13, 167, 2171
The HCF of 8441,2171 is 1.
Lets's calculate GCF of 8441,2171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8441,2171 By Matching Biggest Common Factor Method
Now, list down the factors of 8441
:1,23,367,8441
Now, list down the factors of 2171
:1,13,167,2171
Greatest Common Factor
We found the factors 8441,2171 . The biggest common factor number is the GCF number.
So the greatest common factor 8441,2171 is 1.
Lets's calculate LCM of 231,2121
| 3 | 231, 2121 |
| 7 | 77, 707 |
| 11, 101 |
∴ So the LCM of the given numbers is 3 x 7 x 11 x 101 = 23331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23331
Therefore, the GCF of Fractions 8441/231,2171/2121 is 1/23331
Least Common Multiple of 231,2121 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 231,2121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,2121) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(231,2121) x common factors =21 x 1 = 21
LCM(231,2121) = ( 231 × 2121 ) / 21
LCM(231,2121) = 489951 / 21
LCM(231,2121) = 23331
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FAQs on GCF of Fractions of 8441/231, 2171/2121
1. What is the HCF of 8441,2171?
The HCF of 8441,2171 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 8441/231, 2171/2121?
Answer: GCF of Numerators as per given numbers 8441/231, 2171/2121 is
GCF of Numerators i.e. for 8441,2171 is 1
LCM of denominators i.e. for 231,2121 is 23331.
Thus, GCF of Fractions is 1/23331.Finally, GCF of Fractions for 8441/231, 2171/2121 is 1/23331.