GCF of 5355/319, 6122/3029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5355/319, 6122/3029 i.e 1/966251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5355/319, 6122/3029.
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 5355/319,6122/3029?
Given fractions are 5355/319,6122/3029
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 5355/319,6122/3029, numerators are 5355,6122
Denominators are 319,3029
The GCF of 5355,6122 is 1 .
LCM of 319,3029 is 966251.
The greatest common factor of 5355/319,6122/3029 = [GCF of 5355,6122]/[LCM of 319,3029]= 1/966251
Therefore, the GCF of 5355/319,6122/3029 is 1/966251.
To find the highest common factor of 5355,6122, we have to find the factors of both numbers and list the highest common factor.
The factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355
The factors of 6122 are 1, 2, 3061, 6122
The HCF of 5355,6122 is 1.
Lets's calculate GCF of 5355,6122
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5355,6122 By Matching Biggest Common Factor Method
Now, list down the factors of 5355
:1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355
Now, list down the factors of 6122
:1,2,3061,6122
Greatest Common Factor
We found the factors 5355,6122 . The biggest common factor number is the GCF number.
So the greatest common factor 5355,6122 is 1.
Lets's calculate LCM of 319,3029
Given numbers has no common factors except 1. So, there LCM is their product i.e 966251
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/966251
Therefore, the GCF of Fractions 5355/319,6122/3029 is 1/966251
Least Common Multiple of 319,3029 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 319,3029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,3029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,3029) x common factors =1 x 1 = 1
LCM(319,3029) = ( 319 × 3029 ) / 1
LCM(319,3029) = 966251 / 1
LCM(319,3029) = 966251
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5355/319, 6122/3029
1. What is the HCF of 5355,6122?
The HCF of 5355,6122 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 5355/319, 6122/3029?
Answer: GCF of Numerators as per given numbers 5355/319, 6122/3029 is
GCF of Numerators i.e. for 5355,6122 is 1
LCM of denominators i.e. for 319,3029 is 966251.
Thus, GCF of Fractions is 1/966251.Finally, GCF of Fractions for 5355/319, 6122/3029 is 1/966251.