GCF of 1449/72, 8004/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1449/72, 8004/241 i.e 69/17352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1449/72, 8004/241.
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 1449/72,8004/241?
Given fractions are 1449/72,8004/241
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 1449/72,8004/241, numerators are 1449,8004
Denominators are 72,241
The GCF of 1449,8004 is 69 .
LCM of 72,241 is 17352.
The greatest common factor of 1449/72,8004/241 = [GCF of 1449,8004]/[LCM of 72,241]= 69/17352
Therefore, the GCF of 1449/72,8004/241 is 69/17352.
To find the highest common factor of 1449,8004, we have to find the factors of both numbers and list the highest common factor.
The factors of 1449 are 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449
The factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004
The HCF of 1449,8004 is 69.
Lets's calculate GCF of 1449,8004
| 3 | 1449, 8004 |
| 23 | 483, 2668 |
| 21, 116 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Greatest Common Factor of 1449,8004 By Matching Biggest Common Factor Method
Now, list down the factors of 1449
:1,3,7,9,21,23,63,69,161,207,483,1449
Now, list down the factors of 8004
:1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004
Greatest Common Factor
We found the factors 1449,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 1449,8004 is 69.
Lets's calculate LCM of 72,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 17352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/17352
Therefore, the GCF of Fractions 1449/72,8004/241 is 69/17352
Least Common Multiple of 72,241 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 72,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,241) x common factors =1 x 1 = 1
LCM(72,241) = ( 72 × 241 ) / 1
LCM(72,241) = 17352 / 1
LCM(72,241) = 17352
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FAQs on GCF of Fractions of 1449/72, 8004/241
1. What is the HCF of 1449,8004?
The HCF of 1449,8004 is 69
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 1449/72, 8004/241?
Answer: GCF of Numerators as per given numbers 1449/72, 8004/241 is
GCF of Numerators i.e. for 1449,8004 is 69
LCM of denominators i.e. for 72,241 is 17352.
Thus, GCF of Fractions is 69/17352.Finally, GCF of Fractions for 1449/72, 8004/241 is 69/17352.