GCF of 8445/595, 9000/5878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8445/595, 9000/5878 i.e 15/3497410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8445/595, 9000/5878.
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 8445/595,9000/5878?
Given fractions are 8445/595,9000/5878
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 8445/595,9000/5878, numerators are 8445,9000
Denominators are 595,5878
The GCF of 8445,9000 is 15 .
LCM of 595,5878 is 3497410.
The greatest common factor of 8445/595,9000/5878 = [GCF of 8445,9000]/[LCM of 595,5878]= 15/3497410
Therefore, the GCF of 8445/595,9000/5878 is 15/3497410.
To find the highest common factor of 8445,9000, we have to find the factors of both numbers and list the highest common factor.
The factors of 8445 are 1, 3, 5, 15, 563, 1689, 2815, 8445
The factors of 9000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500, 9000
The HCF of 8445,9000 is 15.
Lets's calculate GCF of 8445,9000
| 3 | 8445, 9000 |
| 5 | 2815, 3000 |
| 563, 600 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 8445,9000 By Matching Biggest Common Factor Method
Now, list down the factors of 8445
:1,3,5,15,563,1689,2815,8445
Now, list down the factors of 9000
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000
Greatest Common Factor
We found the factors 8445,9000 . The biggest common factor number is the GCF number.
So the greatest common factor 8445,9000 is 15.
Lets's calculate LCM of 595,5878
Given numbers has no common factors except 1. So, there LCM is their product i.e 3497410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/3497410
Therefore, the GCF of Fractions 8445/595,9000/5878 is 15/3497410
Least Common Multiple of 595,5878 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 595,5878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,5878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(595,5878) x common factors =1 x 1 = 1
LCM(595,5878) = ( 595 × 5878 ) / 1
LCM(595,5878) = 3497410 / 1
LCM(595,5878) = 3497410
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FAQs on GCF of Fractions of 8445/595, 9000/5878
1. What is the HCF of 8445,9000?
The HCF of 8445,9000 is 15
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 8445/595, 9000/5878?
Answer: GCF of Numerators as per given numbers 8445/595, 9000/5878 is
GCF of Numerators i.e. for 8445,9000 is 15
LCM of denominators i.e. for 595,5878 is 3497410.
Thus, GCF of Fractions is 15/3497410.Finally, GCF of Fractions for 8445/595, 9000/5878 is 15/3497410.