GCF of 9009/513, 5395/1146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9009/513, 5395/1146 i.e 13/195966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9009/513, 5395/1146.
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 9009/513,5395/1146?
Given fractions are 9009/513,5395/1146
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 9009/513,5395/1146, numerators are 9009,5395
Denominators are 513,1146
The GCF of 9009,5395 is 13 .
LCM of 513,1146 is 195966.
The greatest common factor of 9009/513,5395/1146 = [GCF of 9009,5395]/[LCM of 513,1146]= 13/195966
Therefore, the GCF of 9009/513,5395/1146 is 13/195966.
To find the highest common factor of 9009,5395, we have to find the factors of both numbers and list the highest common factor.
The factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009
The factors of 5395 are 1, 5, 13, 65, 83, 415, 1079, 5395
The HCF of 9009,5395 is 13.
Lets's calculate GCF of 9009,5395
| 13 | 9009, 5395 |
| 693, 415 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9009,5395 By Matching Biggest Common Factor Method
Now, list down the factors of 9009
:1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009
Now, list down the factors of 5395
:1,5,13,65,83,415,1079,5395
Greatest Common Factor
We found the factors 9009,5395 . The biggest common factor number is the GCF number.
So the greatest common factor 9009,5395 is 13.
Lets's calculate LCM of 513,1146
| 3 | 513, 1146 |
| 171, 382 |
∴ So the LCM of the given numbers is 3 x 171 x 382 = 195966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/195966
Therefore, the GCF of Fractions 9009/513,5395/1146 is 13/195966
Least Common Multiple of 513,1146 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 513,1146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,1146) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,1146) x common factors =3 x 1 = 3
LCM(513,1146) = ( 513 × 1146 ) / 3
LCM(513,1146) = 587898 / 3
LCM(513,1146) = 195966
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FAQs on GCF of Fractions of 9009/513, 5395/1146
1. What is the HCF of 9009,5395?
The HCF of 9009,5395 is 13
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 9009/513, 5395/1146?
Answer: GCF of Numerators as per given numbers 9009/513, 5395/1146 is
GCF of Numerators i.e. for 9009,5395 is 13
LCM of denominators i.e. for 513,1146 is 195966.
Thus, GCF of Fractions is 13/195966.Finally, GCF of Fractions for 9009/513, 5395/1146 is 13/195966.