GCF of 5307/329, 5265/2429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5307/329, 5265/2429 i.e 3/114163 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5307/329, 5265/2429.
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 5307/329,5265/2429?
Given fractions are 5307/329,5265/2429
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 5307/329,5265/2429, numerators are 5307,5265
Denominators are 329,2429
The GCF of 5307,5265 is 3 .
LCM of 329,2429 is 114163.
The greatest common factor of 5307/329,5265/2429 = [GCF of 5307,5265]/[LCM of 329,2429]= 3/114163
Therefore, the GCF of 5307/329,5265/2429 is 3/114163.
To find the highest common factor of 5307,5265, we have to find the factors of both numbers and list the highest common factor.
The factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307
The factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265
The HCF of 5307,5265 is 3.
Lets's calculate GCF of 5307,5265
| 3 | 5307, 5265 |
| 1769, 1755 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5307,5265 By Matching Biggest Common Factor Method
Now, list down the factors of 5307
:1,3,29,61,87,183,1769,5307
Now, list down the factors of 5265
:1,3,5,9,13,15,27,39,45,65,81,117,135,195,351,405,585,1053,1755,5265
Greatest Common Factor
We found the factors 5307,5265 . The biggest common factor number is the GCF number.
So the greatest common factor 5307,5265 is 3.
Lets's calculate LCM of 329,2429
| 7 | 329, 2429 |
| 47, 347 |
∴ So the LCM of the given numbers is 7 x 47 x 347 = 114163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/114163
Therefore, the GCF of Fractions 5307/329,5265/2429 is 3/114163
Least Common Multiple of 329,2429 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 329,2429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,2429) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(329,2429) x common factors =7 x 1 = 7
LCM(329,2429) = ( 329 × 2429 ) / 7
LCM(329,2429) = 799141 / 7
LCM(329,2429) = 114163
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FAQs on GCF of Fractions of 5307/329, 5265/2429
1. What is the HCF of 5307,5265?
The HCF of 5307,5265 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 5307/329, 5265/2429?
Answer: GCF of Numerators as per given numbers 5307/329, 5265/2429 is
GCF of Numerators i.e. for 5307,5265 is 3
LCM of denominators i.e. for 329,2429 is 114163.
Thus, GCF of Fractions is 3/114163.Finally, GCF of Fractions for 5307/329, 5265/2429 is 3/114163.