GCF of 9609/273, 8301/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9609/273, 8301/326 i.e 3/88998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9609/273, 8301/326.
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 9609/273,8301/326?
Given fractions are 9609/273,8301/326
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 9609/273,8301/326, numerators are 9609,8301
Denominators are 273,326
The GCF of 9609,8301 is 3 .
LCM of 273,326 is 88998.
The greatest common factor of 9609/273,8301/326 = [GCF of 9609,8301]/[LCM of 273,326]= 3/88998
Therefore, the GCF of 9609/273,8301/326 is 3/88998.
To find the highest common factor of 9609,8301, we have to find the factors of both numbers and list the highest common factor.
The factors of 9609 are 1, 3, 3203, 9609
The factors of 8301 are 1, 3, 2767, 8301
The HCF of 9609,8301 is 3.
Lets's calculate GCF of 9609,8301
| 3 | 9609, 8301 |
| 3203, 2767 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9609,8301 By Matching Biggest Common Factor Method
Now, list down the factors of 9609
:1,3,3203,9609
Now, list down the factors of 8301
:1,3,2767,8301
Greatest Common Factor
We found the factors 9609,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 9609,8301 is 3.
Lets's calculate LCM of 273,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 88998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/88998
Therefore, the GCF of Fractions 9609/273,8301/326 is 3/88998
Least Common Multiple of 273,326 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 273,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,326) x common factors =1 x 1 = 1
LCM(273,326) = ( 273 × 326 ) / 1
LCM(273,326) = 88998 / 1
LCM(273,326) = 88998
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FAQs on GCF of Fractions of 9609/273, 8301/326
1. What is the HCF of 9609,8301?
The HCF of 9609,8301 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 9609/273, 8301/326?
Answer: GCF of Numerators as per given numbers 9609/273, 8301/326 is
GCF of Numerators i.e. for 9609,8301 is 3
LCM of denominators i.e. for 273,326 is 88998.
Thus, GCF of Fractions is 3/88998.Finally, GCF of Fractions for 9609/273, 8301/326 is 3/88998.