GCF of 5306/393, 6317/1764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5306/393, 6317/1764 i.e 1/231084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5306/393, 6317/1764.
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 5306/393,6317/1764?
Given fractions are 5306/393,6317/1764
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 5306/393,6317/1764, numerators are 5306,6317
Denominators are 393,1764
The GCF of 5306,6317 is 1 .
LCM of 393,1764 is 231084.
The greatest common factor of 5306/393,6317/1764 = [GCF of 5306,6317]/[LCM of 393,1764]= 1/231084
Therefore, the GCF of 5306/393,6317/1764 is 1/231084.
To find the highest common factor of 5306,6317, we have to find the factors of both numbers and list the highest common factor.
The factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306
The factors of 6317 are 1, 6317
The HCF of 5306,6317 is 1.
Lets's calculate GCF of 5306,6317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5306,6317 By Matching Biggest Common Factor Method
Now, list down the factors of 5306
:1,2,7,14,379,758,2653,5306
Now, list down the factors of 6317
:1,6317
Greatest Common Factor
We found the factors 5306,6317 . The biggest common factor number is the GCF number.
So the greatest common factor 5306,6317 is 1.
Lets's calculate LCM of 393,1764
| 3 | 393, 1764 |
| 131, 588 |
∴ So the LCM of the given numbers is 3 x 131 x 588 = 231084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/231084
Therefore, the GCF of Fractions 5306/393,6317/1764 is 1/231084
Least Common Multiple of 393,1764 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 393,1764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,1764) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(393,1764) x common factors =3 x 1 = 3
LCM(393,1764) = ( 393 × 1764 ) / 3
LCM(393,1764) = 693252 / 3
LCM(393,1764) = 231084
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5306/393, 6317/1764
1. What is the HCF of 5306,6317?
The HCF of 5306,6317 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 5306/393, 6317/1764?
Answer: GCF of Numerators as per given numbers 5306/393, 6317/1764 is
GCF of Numerators i.e. for 5306,6317 is 1
LCM of denominators i.e. for 393,1764 is 231084.
Thus, GCF of Fractions is 1/231084.Finally, GCF of Fractions for 5306/393, 6317/1764 is 1/231084.