GCF of 7371/266, 9165/6397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7371/266, 9165/6397 i.e 39/1701602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7371/266, 9165/6397.
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 7371/266,9165/6397?
Given fractions are 7371/266,9165/6397
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 7371/266,9165/6397, numerators are 7371,9165
Denominators are 266,6397
The GCF of 7371,9165 is 39 .
LCM of 266,6397 is 1701602.
The greatest common factor of 7371/266,9165/6397 = [GCF of 7371,9165]/[LCM of 266,6397]= 39/1701602
Therefore, the GCF of 7371/266,9165/6397 is 39/1701602.
To find the highest common factor of 7371,9165, we have to find the factors of both numbers and list the highest common factor.
The factors of 7371 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457, 7371
The factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165
The HCF of 7371,9165 is 39.
Lets's calculate GCF of 7371,9165
| 3 | 7371, 9165 |
| 13 | 2457, 3055 |
| 189, 235 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 7371,9165 By Matching Biggest Common Factor Method
Now, list down the factors of 7371
:1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371
Now, list down the factors of 9165
:1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Greatest Common Factor
We found the factors 7371,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 7371,9165 is 39.
Lets's calculate LCM of 266,6397
Given numbers has no common factors except 1. So, there LCM is their product i.e 1701602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/1701602
Therefore, the GCF of Fractions 7371/266,9165/6397 is 39/1701602
Least Common Multiple of 266,6397 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 266,6397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,6397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,6397) x common factors =1 x 1 = 1
LCM(266,6397) = ( 266 × 6397 ) / 1
LCM(266,6397) = 1701602 / 1
LCM(266,6397) = 1701602
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FAQs on GCF of Fractions of 7371/266, 9165/6397
1. What is the HCF of 7371,9165?
The HCF of 7371,9165 is 39
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 7371/266, 9165/6397?
Answer: GCF of Numerators as per given numbers 7371/266, 9165/6397 is
GCF of Numerators i.e. for 7371,9165 is 39
LCM of denominators i.e. for 266,6397 is 1701602.
Thus, GCF of Fractions is 39/1701602.Finally, GCF of Fractions for 7371/266, 9165/6397 is 39/1701602.