GCF of 9231/361, 7164/2373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9231/361, 7164/2373 i.e 3/856653 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9231/361, 7164/2373.
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 9231/361,7164/2373?
Given fractions are 9231/361,7164/2373
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 9231/361,7164/2373, numerators are 9231,7164
Denominators are 361,2373
The GCF of 9231,7164 is 3 .
LCM of 361,2373 is 856653.
The greatest common factor of 9231/361,7164/2373 = [GCF of 9231,7164]/[LCM of 361,2373]= 3/856653
Therefore, the GCF of 9231/361,7164/2373 is 3/856653.
To find the highest common factor of 9231,7164, we have to find the factors of both numbers and list the highest common factor.
The factors of 9231 are 1, 3, 17, 51, 181, 543, 3077, 9231
The factors of 7164 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164
The HCF of 9231,7164 is 3.
Lets's calculate GCF of 9231,7164
| 3 | 9231, 7164 |
| 3077, 2388 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9231,7164 By Matching Biggest Common Factor Method
Now, list down the factors of 9231
:1,3,17,51,181,543,3077,9231
Now, list down the factors of 7164
:1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164
Greatest Common Factor
We found the factors 9231,7164 . The biggest common factor number is the GCF number.
So the greatest common factor 9231,7164 is 3.
Lets's calculate LCM of 361,2373
Given numbers has no common factors except 1. So, there LCM is their product i.e 856653
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/856653
Therefore, the GCF of Fractions 9231/361,7164/2373 is 3/856653
Least Common Multiple of 361,2373 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 361,2373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,2373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,2373) x common factors =1 x 1 = 1
LCM(361,2373) = ( 361 × 2373 ) / 1
LCM(361,2373) = 856653 / 1
LCM(361,2373) = 856653
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FAQs on GCF of Fractions of 9231/361, 7164/2373
1. What is the HCF of 9231,7164?
The HCF of 9231,7164 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 9231/361, 7164/2373?
Answer: GCF of Numerators as per given numbers 9231/361, 7164/2373 is
GCF of Numerators i.e. for 9231,7164 is 3
LCM of denominators i.e. for 361,2373 is 856653.
Thus, GCF of Fractions is 3/856653.Finally, GCF of Fractions for 9231/361, 7164/2373 is 3/856653.