GCF of 8402/321, 8000/568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8402/321, 8000/568 i.e 2/182328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8402/321, 8000/568.
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 8402/321,8000/568?
Given fractions are 8402/321,8000/568
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 8402/321,8000/568, numerators are 8402,8000
Denominators are 321,568
The GCF of 8402,8000 is 2 .
LCM of 321,568 is 182328.
The greatest common factor of 8402/321,8000/568 = [GCF of 8402,8000]/[LCM of 321,568]= 2/182328
Therefore, the GCF of 8402/321,8000/568 is 2/182328.
To find the highest common factor of 8402,8000, we have to find the factors of both numbers and list the highest common factor.
The factors of 8402 are 1, 2, 4201, 8402
The factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000
The HCF of 8402,8000 is 2.
Lets's calculate GCF of 8402,8000
| 2 | 8402, 8000 |
| 4201, 4000 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8402,8000 By Matching Biggest Common Factor Method
Now, list down the factors of 8402
:1,2,4201,8402
Now, list down the factors of 8000
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000
Greatest Common Factor
We found the factors 8402,8000 . The biggest common factor number is the GCF number.
So the greatest common factor 8402,8000 is 2.
Lets's calculate LCM of 321,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 182328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/182328
Therefore, the GCF of Fractions 8402/321,8000/568 is 2/182328
Least Common Multiple of 321,568 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 321,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,568) x common factors =1 x 1 = 1
LCM(321,568) = ( 321 × 568 ) / 1
LCM(321,568) = 182328 / 1
LCM(321,568) = 182328
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FAQs on GCF of Fractions of 8402/321, 8000/568
1. What is the HCF of 8402,8000?
The HCF of 8402,8000 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 8402/321, 8000/568?
Answer: GCF of Numerators as per given numbers 8402/321, 8000/568 is
GCF of Numerators i.e. for 8402,8000 is 2
LCM of denominators i.e. for 321,568 is 182328.
Thus, GCF of Fractions is 2/182328.Finally, GCF of Fractions for 8402/321, 8000/568 is 2/182328.