GCF of 9207/959, 3105/133
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9207/959, 3105/133 i.e 27/18221 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9207/959, 3105/133.
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 9207/959,3105/133?
Given fractions are 9207/959,3105/133
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 9207/959,3105/133, numerators are 9207,3105
Denominators are 959,133
The GCF of 9207,3105 is 27 .
LCM of 959,133 is 18221.
The greatest common factor of 9207/959,3105/133 = [GCF of 9207,3105]/[LCM of 959,133]= 27/18221
Therefore, the GCF of 9207/959,3105/133 is 27/18221.
To find the highest common factor of 9207,3105, we have to find the factors of both numbers and list the highest common factor.
The factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207
The factors of 3105 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 115, 135, 207, 345, 621, 1035, 3105
The HCF of 9207,3105 is 27.
Lets's calculate GCF of 9207,3105
| 3 | 9207, 3105 |
| 3 | 3069, 1035 |
| 3 | 1023, 345 |
| 341, 115 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 9207,3105 By Matching Biggest Common Factor Method
Now, list down the factors of 9207
:1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207
Now, list down the factors of 3105
:1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105
Greatest Common Factor
We found the factors 9207,3105 . The biggest common factor number is the GCF number.
So the greatest common factor 9207,3105 is 27.
Lets's calculate LCM of 959,133
| 7 | 959, 133 |
| 137, 19 |
∴ So the LCM of the given numbers is 7 x 137 x 19 = 18221
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/18221
Therefore, the GCF of Fractions 9207/959,3105/133 is 27/18221
Least Common Multiple of 959,133 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 959,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,133) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(959,133) x common factors =7 x 1 = 7
LCM(959,133) = ( 959 × 133 ) / 7
LCM(959,133) = 127547 / 7
LCM(959,133) = 18221
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9207/959, 3105/133
1. What is the HCF of 9207,3105?
The HCF of 9207,3105 is 27
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 9207/959, 3105/133?
Answer: GCF of Numerators as per given numbers 9207/959, 3105/133 is
GCF of Numerators i.e. for 9207,3105 is 27
LCM of denominators i.e. for 959,133 is 18221.
Thus, GCF of Fractions is 27/18221.Finally, GCF of Fractions for 9207/959, 3105/133 is 27/18221.