GCF of 5483/282, 3790/5733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5483/282, 3790/5733 i.e 1/538902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5483/282, 3790/5733.
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 5483/282,3790/5733?
Given fractions are 5483/282,3790/5733
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 5483/282,3790/5733, numerators are 5483,3790
Denominators are 282,5733
The GCF of 5483,3790 is 1 .
LCM of 282,5733 is 538902.
The greatest common factor of 5483/282,3790/5733 = [GCF of 5483,3790]/[LCM of 282,5733]= 1/538902
Therefore, the GCF of 5483/282,3790/5733 is 1/538902.
To find the highest common factor of 5483,3790, we have to find the factors of both numbers and list the highest common factor.
The factors of 5483 are 1, 5483
The factors of 3790 are 1, 2, 5, 10, 379, 758, 1895, 3790
The HCF of 5483,3790 is 1.
Lets's calculate GCF of 5483,3790
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5483,3790 By Matching Biggest Common Factor Method
Now, list down the factors of 5483
:1,5483
Now, list down the factors of 3790
:1,2,5,10,379,758,1895,3790
Greatest Common Factor
We found the factors 5483,3790 . The biggest common factor number is the GCF number.
So the greatest common factor 5483,3790 is 1.
Lets's calculate LCM of 282,5733
| 3 | 282, 5733 |
| 94, 1911 |
∴ So the LCM of the given numbers is 3 x 94 x 1911 = 538902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/538902
Therefore, the GCF of Fractions 5483/282,3790/5733 is 1/538902
Least Common Multiple of 282,5733 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 282,5733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,5733) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(282,5733) x common factors =3 x 1 = 3
LCM(282,5733) = ( 282 × 5733 ) / 3
LCM(282,5733) = 1616706 / 3
LCM(282,5733) = 538902
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5483/282, 3790/5733
1. What is the HCF of 5483,3790?
The HCF of 5483,3790 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 5483/282, 3790/5733?
Answer: GCF of Numerators as per given numbers 5483/282, 3790/5733 is
GCF of Numerators i.e. for 5483,3790 is 1
LCM of denominators i.e. for 282,5733 is 538902.
Thus, GCF of Fractions is 1/538902.Finally, GCF of Fractions for 5483/282, 3790/5733 is 1/538902.