GCF of 229/21, 289/8911
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 229/21, 289/8911 i.e 1/26733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 229/21, 289/8911.
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 229/21,289/8911?
Given fractions are 229/21,289/8911
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 229/21,289/8911, numerators are 229,289
Denominators are 21,8911
The GCF of 229,289 is 1 .
LCM of 21,8911 is 26733.
The greatest common factor of 229/21,289/8911 = [GCF of 229,289]/[LCM of 21,8911]= 1/26733
Therefore, the GCF of 229/21,289/8911 is 1/26733.
To find the highest common factor of 229,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 229 are 1, 229
The factors of 289 are 1, 17, 289
The HCF of 229,289 is 1.
Lets's calculate GCF of 229,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 229,289 By Matching Biggest Common Factor Method
Now, list down the factors of 229
:1,229
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 229,289 . The biggest common factor number is the GCF number.
So the greatest common factor 229,289 is 1.
Lets's calculate LCM of 21,8911
| 7 | 21, 8911 |
| 3, 1273 |
∴ So the LCM of the given numbers is 7 x 3 x 1273 = 26733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26733
Therefore, the GCF of Fractions 229/21,289/8911 is 1/26733
Least Common Multiple of 21,8911 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 21,8911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,8911) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(21,8911) x common factors =7 x 1 = 7
LCM(21,8911) = ( 21 × 8911 ) / 7
LCM(21,8911) = 187131 / 7
LCM(21,8911) = 26733
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FAQs on GCF of Fractions of 229/21, 289/8911
1. What is the HCF of 229,289?
The HCF of 229,289 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 229/21, 289/8911?
Answer: GCF of Numerators as per given numbers 229/21, 289/8911 is
GCF of Numerators i.e. for 229,289 is 1
LCM of denominators i.e. for 21,8911 is 26733.
Thus, GCF of Fractions is 1/26733.Finally, GCF of Fractions for 229/21, 289/8911 is 1/26733.