GCF of 6324/271, 9171/5975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6324/271, 9171/5975 i.e 3/1619225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6324/271, 9171/5975.
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 6324/271,9171/5975?
Given fractions are 6324/271,9171/5975
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 6324/271,9171/5975, numerators are 6324,9171
Denominators are 271,5975
The GCF of 6324,9171 is 3 .
LCM of 271,5975 is 1619225.
The greatest common factor of 6324/271,9171/5975 = [GCF of 6324,9171]/[LCM of 271,5975]= 3/1619225
Therefore, the GCF of 6324/271,9171/5975 is 3/1619225.
To find the highest common factor of 6324,9171, we have to find the factors of both numbers and list the highest common factor.
The factors of 6324 are 1, 2, 3, 4, 6, 12, 17, 31, 34, 51, 62, 68, 93, 102, 124, 186, 204, 372, 527, 1054, 1581, 2108, 3162, 6324
The factors of 9171 are 1, 3, 9, 1019, 3057, 9171
The HCF of 6324,9171 is 3.
Lets's calculate GCF of 6324,9171
| 3 | 6324, 9171 |
| 2108, 3057 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6324,9171 By Matching Biggest Common Factor Method
Now, list down the factors of 6324
:1,2,3,4,6,12,17,31,34,51,62,68,93,102,124,186,204,372,527,1054,1581,2108,3162,6324
Now, list down the factors of 9171
:1,3,9,1019,3057,9171
Greatest Common Factor
We found the factors 6324,9171 . The biggest common factor number is the GCF number.
So the greatest common factor 6324,9171 is 3.
Lets's calculate LCM of 271,5975
Given numbers has no common factors except 1. So, there LCM is their product i.e 1619225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1619225
Therefore, the GCF of Fractions 6324/271,9171/5975 is 3/1619225
Least Common Multiple of 271,5975 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 271,5975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,5975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,5975) x common factors =1 x 1 = 1
LCM(271,5975) = ( 271 × 5975 ) / 1
LCM(271,5975) = 1619225 / 1
LCM(271,5975) = 1619225
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FAQs on GCF of Fractions of 6324/271, 9171/5975
1. What is the HCF of 6324,9171?
The HCF of 6324,9171 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 6324/271, 9171/5975?
Answer: GCF of Numerators as per given numbers 6324/271, 9171/5975 is
GCF of Numerators i.e. for 6324,9171 is 3
LCM of denominators i.e. for 271,5975 is 1619225.
Thus, GCF of Fractions is 3/1619225.Finally, GCF of Fractions for 6324/271, 9171/5975 is 3/1619225.