GCF of 6040/511, 9000/7739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6040/511, 9000/7739 i.e 40/3954629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6040/511, 9000/7739.
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 6040/511,9000/7739?
Given fractions are 6040/511,9000/7739
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 6040/511,9000/7739, numerators are 6040,9000
Denominators are 511,7739
The GCF of 6040,9000 is 40 .
LCM of 511,7739 is 3954629.
The greatest common factor of 6040/511,9000/7739 = [GCF of 6040,9000]/[LCM of 511,7739]= 40/3954629
Therefore, the GCF of 6040/511,9000/7739 is 40/3954629.
To find the highest common factor of 6040,9000, we have to find the factors of both numbers and list the highest common factor.
The factors of 6040 are 1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040
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 6040,9000 is 40.
Lets's calculate GCF of 6040,9000
| 2 | 6040, 9000 |
| 2 | 3020, 4500 |
| 2 | 1510, 2250 |
| 5 | 755, 1125 |
| 151, 225 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 6040,9000 By Matching Biggest Common Factor Method
Now, list down the factors of 6040
:1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040
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 6040,9000 . The biggest common factor number is the GCF number.
So the greatest common factor 6040,9000 is 40.
Lets's calculate LCM of 511,7739
Given numbers has no common factors except 1. So, there LCM is their product i.e 3954629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/3954629
Therefore, the GCF of Fractions 6040/511,9000/7739 is 40/3954629
Least Common Multiple of 511,7739 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 511,7739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,7739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,7739) x common factors =1 x 1 = 1
LCM(511,7739) = ( 511 × 7739 ) / 1
LCM(511,7739) = 3954629 / 1
LCM(511,7739) = 3954629
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FAQs on GCF of Fractions of 6040/511, 9000/7739
1. What is the HCF of 6040,9000?
The HCF of 6040,9000 is 40
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 6040/511, 9000/7739?
Answer: GCF of Numerators as per given numbers 6040/511, 9000/7739 is
GCF of Numerators i.e. for 6040,9000 is 40
LCM of denominators i.e. for 511,7739 is 3954629.
Thus, GCF of Fractions is 40/3954629.Finally, GCF of Fractions for 6040/511, 9000/7739 is 40/3954629.