GCF of 4449/282, 3519/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4449/282, 3519/286 i.e 3/40326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4449/282, 3519/286.
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 4449/282,3519/286?
Given fractions are 4449/282,3519/286
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 4449/282,3519/286, numerators are 4449,3519
Denominators are 282,286
The GCF of 4449,3519 is 3 .
LCM of 282,286 is 40326.
The greatest common factor of 4449/282,3519/286 = [GCF of 4449,3519]/[LCM of 282,286]= 3/40326
Therefore, the GCF of 4449/282,3519/286 is 3/40326.
To find the highest common factor of 4449,3519, we have to find the factors of both numbers and list the highest common factor.
The factors of 4449 are 1, 3, 1483, 4449
The factors of 3519 are 1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173, 3519
The HCF of 4449,3519 is 3.
Lets's calculate GCF of 4449,3519
| 3 | 4449, 3519 |
| 1483, 1173 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4449,3519 By Matching Biggest Common Factor Method
Now, list down the factors of 4449
:1,3,1483,4449
Now, list down the factors of 3519
:1,3,9,17,23,51,69,153,207,391,1173,3519
Greatest Common Factor
We found the factors 4449,3519 . The biggest common factor number is the GCF number.
So the greatest common factor 4449,3519 is 3.
Lets's calculate LCM of 282,286
| 2 | 282, 286 |
| 141, 143 |
∴ So the LCM of the given numbers is 2 x 141 x 143 = 40326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40326
Therefore, the GCF of Fractions 4449/282,3519/286 is 3/40326
Least Common Multiple of 282,286 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 282,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,286) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,286) x common factors =2 x 1 = 2
LCM(282,286) = ( 282 × 286 ) / 2
LCM(282,286) = 80652 / 2
LCM(282,286) = 40326
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FAQs on GCF of Fractions of 4449/282, 3519/286
1. What is the HCF of 4449,3519?
The HCF of 4449,3519 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 4449/282, 3519/286?
Answer: GCF of Numerators as per given numbers 4449/282, 3519/286 is
GCF of Numerators i.e. for 4449,3519 is 3
LCM of denominators i.e. for 282,286 is 40326.
Thus, GCF of Fractions is 3/40326.Finally, GCF of Fractions for 4449/282, 3519/286 is 3/40326.