GCF of 5794/320, 5932/469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5794/320, 5932/469 i.e 2/150080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5794/320, 5932/469.
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 5794/320,5932/469?
Given fractions are 5794/320,5932/469
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 5794/320,5932/469, numerators are 5794,5932
Denominators are 320,469
The GCF of 5794,5932 is 2 .
LCM of 320,469 is 150080.
The greatest common factor of 5794/320,5932/469 = [GCF of 5794,5932]/[LCM of 320,469]= 2/150080
Therefore, the GCF of 5794/320,5932/469 is 2/150080.
To find the highest common factor of 5794,5932, we have to find the factors of both numbers and list the highest common factor.
The factors of 5794 are 1, 2, 2897, 5794
The factors of 5932 are 1, 2, 4, 1483, 2966, 5932
The HCF of 5794,5932 is 2.
Lets's calculate GCF of 5794,5932
| 2 | 5794, 5932 |
| 2897, 2966 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5794,5932 By Matching Biggest Common Factor Method
Now, list down the factors of 5794
:1,2,2897,5794
Now, list down the factors of 5932
:1,2,4,1483,2966,5932
Greatest Common Factor
We found the factors 5794,5932 . The biggest common factor number is the GCF number.
So the greatest common factor 5794,5932 is 2.
Lets's calculate LCM of 320,469
Given numbers has no common factors except 1. So, there LCM is their product i.e 150080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/150080
Therefore, the GCF of Fractions 5794/320,5932/469 is 2/150080
Least Common Multiple of 320,469 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 320,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(320,469) x common factors =1 x 1 = 1
LCM(320,469) = ( 320 × 469 ) / 1
LCM(320,469) = 150080 / 1
LCM(320,469) = 150080
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FAQs on GCF of Fractions of 5794/320, 5932/469
1. What is the HCF of 5794,5932?
The HCF of 5794,5932 is 2
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 5794/320, 5932/469?
Answer: GCF of Numerators as per given numbers 5794/320, 5932/469 is
GCF of Numerators i.e. for 5794,5932 is 2
LCM of denominators i.e. for 320,469 is 150080.
Thus, GCF of Fractions is 2/150080.Finally, GCF of Fractions for 5794/320, 5932/469 is 2/150080.