GCF of 7983/162, 1569/2439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7983/162, 1569/2439 i.e 3/43902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7983/162, 1569/2439.
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 7983/162,1569/2439?
Given fractions are 7983/162,1569/2439
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 7983/162,1569/2439, numerators are 7983,1569
Denominators are 162,2439
The GCF of 7983,1569 is 3 .
LCM of 162,2439 is 43902.
The greatest common factor of 7983/162,1569/2439 = [GCF of 7983,1569]/[LCM of 162,2439]= 3/43902
Therefore, the GCF of 7983/162,1569/2439 is 3/43902.
To find the highest common factor of 7983,1569, we have to find the factors of both numbers and list the highest common factor.
The factors of 7983 are 1, 3, 9, 887, 2661, 7983
The factors of 1569 are 1, 3, 523, 1569
The HCF of 7983,1569 is 3.
Lets's calculate GCF of 7983,1569
| 3 | 7983, 1569 |
| 2661, 523 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7983,1569 By Matching Biggest Common Factor Method
Now, list down the factors of 7983
:1,3,9,887,2661,7983
Now, list down the factors of 1569
:1,3,523,1569
Greatest Common Factor
We found the factors 7983,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 7983,1569 is 3.
Lets's calculate LCM of 162,2439
| 3 | 162, 2439 |
| 3 | 54, 813 |
| 18, 271 |
∴ So the LCM of the given numbers is 3 x 3 x 18 x 271 = 43902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43902
Therefore, the GCF of Fractions 7983/162,1569/2439 is 3/43902
Least Common Multiple of 162,2439 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 162,2439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,2439) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(162,2439) x common factors =9 x 1 = 9
LCM(162,2439) = ( 162 × 2439 ) / 9
LCM(162,2439) = 395118 / 9
LCM(162,2439) = 43902
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7983/162, 1569/2439
1. What is the HCF of 7983,1569?
The HCF of 7983,1569 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 7983/162, 1569/2439?
Answer: GCF of Numerators as per given numbers 7983/162, 1569/2439 is
GCF of Numerators i.e. for 7983,1569 is 3
LCM of denominators i.e. for 162,2439 is 43902.
Thus, GCF of Fractions is 3/43902.Finally, GCF of Fractions for 7983/162, 1569/2439 is 3/43902.