GCF of 9405/588, 6171/8642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9405/588, 6171/8642 i.e 33/2540748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9405/588, 6171/8642.
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 9405/588,6171/8642?
Given fractions are 9405/588,6171/8642
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 9405/588,6171/8642, numerators are 9405,6171
Denominators are 588,8642
The GCF of 9405,6171 is 33 .
LCM of 588,8642 is 2540748.
The greatest common factor of 9405/588,6171/8642 = [GCF of 9405,6171]/[LCM of 588,8642]= 33/2540748
Therefore, the GCF of 9405/588,6171/8642 is 33/2540748.
To find the highest common factor of 9405,6171, we have to find the factors of both numbers and list the highest common factor.
The factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405
The factors of 6171 are 1, 3, 11, 17, 33, 51, 121, 187, 363, 561, 2057, 6171
The HCF of 9405,6171 is 33.
Lets's calculate GCF of 9405,6171
| 3 | 9405, 6171 |
| 11 | 3135, 2057 |
| 285, 187 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 9405,6171 By Matching Biggest Common Factor Method
Now, list down the factors of 9405
:1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405
Now, list down the factors of 6171
:1,3,11,17,33,51,121,187,363,561,2057,6171
Greatest Common Factor
We found the factors 9405,6171 . The biggest common factor number is the GCF number.
So the greatest common factor 9405,6171 is 33.
Lets's calculate LCM of 588,8642
| 2 | 588, 8642 |
| 294, 4321 |
∴ So the LCM of the given numbers is 2 x 294 x 4321 = 2540748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/2540748
Therefore, the GCF of Fractions 9405/588,6171/8642 is 33/2540748
Least Common Multiple of 588,8642 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 588,8642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,8642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(588,8642) x common factors =2 x 1 = 2
LCM(588,8642) = ( 588 × 8642 ) / 2
LCM(588,8642) = 5081496 / 2
LCM(588,8642) = 2540748
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FAQs on GCF of Fractions of 9405/588, 6171/8642
1. What is the HCF of 9405,6171?
The HCF of 9405,6171 is 33
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 9405/588, 6171/8642?
Answer: GCF of Numerators as per given numbers 9405/588, 6171/8642 is
GCF of Numerators i.e. for 9405,6171 is 33
LCM of denominators i.e. for 588,8642 is 2540748.
Thus, GCF of Fractions is 33/2540748.Finally, GCF of Fractions for 9405/588, 6171/8642 is 33/2540748.