GCF of 477/309, 3549/123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 477/309, 3549/123 i.e 3/12669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 477/309, 3549/123.
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 477/309,3549/123?
Given fractions are 477/309,3549/123
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 477/309,3549/123, numerators are 477,3549
Denominators are 309,123
The GCF of 477,3549 is 3 .
LCM of 309,123 is 12669.
The greatest common factor of 477/309,3549/123 = [GCF of 477,3549]/[LCM of 309,123]= 3/12669
Therefore, the GCF of 477/309,3549/123 is 3/12669.
To find the highest common factor of 477,3549, we have to find the factors of both numbers and list the highest common factor.
The factors of 477 are 1, 3, 9, 53, 159, 477
The factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549
The HCF of 477,3549 is 3.
Lets's calculate GCF of 477,3549
| 3 | 477, 3549 |
| 159, 1183 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 477,3549 By Matching Biggest Common Factor Method
Now, list down the factors of 477
:1,3,9,53,159,477
Now, list down the factors of 3549
:1,3,7,13,21,39,91,169,273,507,1183,3549
Greatest Common Factor
We found the factors 477,3549 . The biggest common factor number is the GCF number.
So the greatest common factor 477,3549 is 3.
Lets's calculate LCM of 309,123
| 3 | 309, 123 |
| 103, 41 |
∴ So the LCM of the given numbers is 3 x 103 x 41 = 12669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12669
Therefore, the GCF of Fractions 477/309,3549/123 is 3/12669
Least Common Multiple of 309,123 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 309,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,123) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,123) x common factors =3 x 1 = 3
LCM(309,123) = ( 309 × 123 ) / 3
LCM(309,123) = 38007 / 3
LCM(309,123) = 12669
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 477/309, 3549/123
1. What is the HCF of 477,3549?
The HCF of 477,3549 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 477/309, 3549/123?
Answer: GCF of Numerators as per given numbers 477/309, 3549/123 is
GCF of Numerators i.e. for 477,3549 is 3
LCM of denominators i.e. for 309,123 is 12669.
Thus, GCF of Fractions is 3/12669.Finally, GCF of Fractions for 477/309, 3549/123 is 3/12669.