GCF of 5229/108, 2409/3144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5229/108, 2409/3144 i.e 3/28296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5229/108, 2409/3144.
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 5229/108,2409/3144?
Given fractions are 5229/108,2409/3144
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 5229/108,2409/3144, numerators are 5229,2409
Denominators are 108,3144
The GCF of 5229,2409 is 3 .
LCM of 108,3144 is 28296.
The greatest common factor of 5229/108,2409/3144 = [GCF of 5229,2409]/[LCM of 108,3144]= 3/28296
Therefore, the GCF of 5229/108,2409/3144 is 3/28296.
To find the highest common factor of 5229,2409, we have to find the factors of both numbers and list the highest common factor.
The factors of 5229 are 1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229
The factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409
The HCF of 5229,2409 is 3.
Lets's calculate GCF of 5229,2409
| 3 | 5229, 2409 |
| 1743, 803 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5229,2409 By Matching Biggest Common Factor Method
Now, list down the factors of 5229
:1,3,7,9,21,63,83,249,581,747,1743,5229
Now, list down the factors of 2409
:1,3,11,33,73,219,803,2409
Greatest Common Factor
We found the factors 5229,2409 . The biggest common factor number is the GCF number.
So the greatest common factor 5229,2409 is 3.
Lets's calculate LCM of 108,3144
| 2 | 108, 3144 |
| 2 | 54, 1572 |
| 3 | 27, 786 |
| 9, 262 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 262 = 28296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28296
Therefore, the GCF of Fractions 5229/108,2409/3144 is 3/28296
Least Common Multiple of 108,3144 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 108,3144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,3144) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(108,3144) x common factors =12 x 1 = 12
LCM(108,3144) = ( 108 × 3144 ) / 12
LCM(108,3144) = 339552 / 12
LCM(108,3144) = 28296
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FAQs on GCF of Fractions of 5229/108, 2409/3144
1. What is the HCF of 5229,2409?
The HCF of 5229,2409 is 3
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 5229/108, 2409/3144?
Answer: GCF of Numerators as per given numbers 5229/108, 2409/3144 is
GCF of Numerators i.e. for 5229,2409 is 3
LCM of denominators i.e. for 108,3144 is 28296.
Thus, GCF of Fractions is 3/28296.Finally, GCF of Fractions for 5229/108, 2409/3144 is 3/28296.