GCF of 9490/162, 8000/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9490/162, 8000/723 i.e 10/39042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9490/162, 8000/723.
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 9490/162,8000/723?
Given fractions are 9490/162,8000/723
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 9490/162,8000/723, numerators are 9490,8000
Denominators are 162,723
The GCF of 9490,8000 is 10 .
LCM of 162,723 is 39042.
The greatest common factor of 9490/162,8000/723 = [GCF of 9490,8000]/[LCM of 162,723]= 10/39042
Therefore, the GCF of 9490/162,8000/723 is 10/39042.
To find the highest common factor of 9490,8000, we have to find the factors of both numbers and list the highest common factor.
The factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, 9490
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 9490,8000 is 10.
Lets's calculate GCF of 9490,8000
| 2 | 9490, 8000 |
| 5 | 4745, 4000 |
| 949, 800 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9490,8000 By Matching Biggest Common Factor Method
Now, list down the factors of 9490
:1,2,5,10,13,26,65,73,130,146,365,730,949,1898,4745,9490
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 9490,8000 . The biggest common factor number is the GCF number.
So the greatest common factor 9490,8000 is 10.
Lets's calculate LCM of 162,723
| 3 | 162, 723 |
| 54, 241 |
∴ So the LCM of the given numbers is 3 x 54 x 241 = 39042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/39042
Therefore, the GCF of Fractions 9490/162,8000/723 is 10/39042
Least Common Multiple of 162,723 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 162,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(162,723) x common factors =3 x 1 = 3
LCM(162,723) = ( 162 × 723 ) / 3
LCM(162,723) = 117126 / 3
LCM(162,723) = 39042
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9490/162, 8000/723
1. What is the HCF of 9490,8000?
The HCF of 9490,8000 is 10
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 9490/162, 8000/723?
Answer: GCF of Numerators as per given numbers 9490/162, 8000/723 is
GCF of Numerators i.e. for 9490,8000 is 10
LCM of denominators i.e. for 162,723 is 39042.
Thus, GCF of Fractions is 10/39042.Finally, GCF of Fractions for 9490/162, 8000/723 is 10/39042.