GCF of 6373/394, 5400/3940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6373/394, 5400/3940 i.e 1/3940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6373/394, 5400/3940.
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 6373/394,5400/3940?
Given fractions are 6373/394,5400/3940
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 6373/394,5400/3940, numerators are 6373,5400
Denominators are 394,3940
The GCF of 6373,5400 is 1 .
LCM of 394,3940 is 3940.
The greatest common factor of 6373/394,5400/3940 = [GCF of 6373,5400]/[LCM of 394,3940]= 1/3940
Therefore, the GCF of 6373/394,5400/3940 is 1/3940.
To find the highest common factor of 6373,5400, we have to find the factors of both numbers and list the highest common factor.
The factors of 6373 are 1, 6373
The factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400
The HCF of 6373,5400 is 1.
Lets's calculate GCF of 6373,5400
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6373,5400 By Matching Biggest Common Factor Method
Now, list down the factors of 6373
:1,6373
Now, list down the factors of 5400
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400
Greatest Common Factor
We found the factors 6373,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 6373,5400 is 1.
Lets's calculate LCM of 394,3940
| 2 | 394, 3940 |
| 197 | 197, 1970 |
| 1, 10 |
∴ So the LCM of the given numbers is 2 x 197 x 1 x 10 = 3940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3940
Therefore, the GCF of Fractions 6373/394,5400/3940 is 1/3940
Least Common Multiple of 394,3940 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 394,3940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,3940) = 394
common factors(in case of two or more numbers have common factors) = 1
GCF(394,3940) x common factors =394 x 1 = 394
LCM(394,3940) = ( 394 × 3940 ) / 394
LCM(394,3940) = 1552360 / 394
LCM(394,3940) = 3940
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FAQs on GCF of Fractions of 6373/394, 5400/3940
1. What is the HCF of 6373,5400?
The HCF of 6373,5400 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 6373/394, 5400/3940?
Answer: GCF of Numerators as per given numbers 6373/394, 5400/3940 is
GCF of Numerators i.e. for 6373,5400 is 1
LCM of denominators i.e. for 394,3940 is 3940.
Thus, GCF of Fractions is 1/3940.Finally, GCF of Fractions for 6373/394, 5400/3940 is 1/3940.