GCF of 483/17, 415/40, 283/56
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 483/17, 415/40, 283/56 i.e 1/4760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/17, 415/40, 283/56.
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 483/17,415/40,283/56?
Given fractions are 483/17,415/40,283/56
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 483/17,415/40,283/56, numerators are 483,415,283
Denominators are 17,40,56
The GCF of 483,415,283 is 1 .
LCM of 17,40,56 is 4760.
The greatest common factor of 483/17,415/40,283/56 = [GCF of 483,415,283]/[LCM of 17,40,56]= 1/4760
Therefore, the GCF of 483/17,415/40,283/56 is 1/4760.
To find the highest common factor of 483,415,283, we have to find the factors of both numbers and list the highest common factor.
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The factors of 415 are 1, 5, 83, 415
The factors of 283 are 1, 283
The HCF of 483,415,283 is 1.
Lets's calculate GCF of 483,415,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 483,415,283 By Matching Biggest Common Factor Method
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Now, list down the factors of 415
:1,5,83,415
Now, list down the factors of 283
:1,283
Greatest Common Factor
We found the factors 483,415,283 . The biggest common factor number is the GCF number.
So the greatest common factor 483,415,283 is 1.
Lets's calculate LCM of 17,40,56
| 2 | 17, 40, 56 |
| 2 | 17, 20, 28 |
| 2 | 17, 10, 14 |
| 17, 5, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 5 x 7 = 4760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4760
Therefore, the GCF of Fractions 483/17,415/40,283/56 is 1/4760
Least Common Multiple of 17,40,56 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 17,40,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,40,56) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(17,40,56) x common factors =1 x 8 = 8
LCM(17,40,56) = ( 17 × 40 × 56 ) / 8
LCM(17,40,56) = 38080 / 8
LCM(17,40,56) = 4760
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FAQs on GCF of Fractions of 483/17, 415/40, 283/56
1. What is the HCF of 483,415,283?
The HCF of 483,415,283 is 1
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 483/17, 415/40, 283/56?
Answer: GCF of Numerators as per given numbers 483/17, 415/40, 283/56 is
GCF of Numerators i.e. for 483,415,283 is 1
LCM of denominators i.e. for 17,40,56 is 4760.
Thus, GCF of Fractions is 1/4760.Finally, GCF of Fractions for 483/17, 415/40, 283/56 is 1/4760.