GCF of 6020/467, 8025/579
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6020/467, 8025/579 i.e 5/270393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6020/467, 8025/579.
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 6020/467,8025/579?
Given fractions are 6020/467,8025/579
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 6020/467,8025/579, numerators are 6020,8025
Denominators are 467,579
The GCF of 6020,8025 is 5 .
LCM of 467,579 is 270393.
The greatest common factor of 6020/467,8025/579 = [GCF of 6020,8025]/[LCM of 467,579]= 5/270393
Therefore, the GCF of 6020/467,8025/579 is 5/270393.
To find the highest common factor of 6020,8025, we have to find the factors of both numbers and list the highest common factor.
The factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020
The factors of 8025 are 1, 3, 5, 15, 25, 75, 107, 321, 535, 1605, 2675, 8025
The HCF of 6020,8025 is 5.
Lets's calculate GCF of 6020,8025
| 5 | 6020, 8025 |
| 1204, 1605 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6020,8025 By Matching Biggest Common Factor Method
Now, list down the factors of 6020
:1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020
Now, list down the factors of 8025
:1,3,5,15,25,75,107,321,535,1605,2675,8025
Greatest Common Factor
We found the factors 6020,8025 . The biggest common factor number is the GCF number.
So the greatest common factor 6020,8025 is 5.
Lets's calculate LCM of 467,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 270393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/270393
Therefore, the GCF of Fractions 6020/467,8025/579 is 5/270393
Least Common Multiple of 467,579 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 467,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,579) x common factors =1 x 1 = 1
LCM(467,579) = ( 467 × 579 ) / 1
LCM(467,579) = 270393 / 1
LCM(467,579) = 270393
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FAQs on GCF of Fractions of 6020/467, 8025/579
1. What is the HCF of 6020,8025?
The HCF of 6020,8025 is 5
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 6020/467, 8025/579?
Answer: GCF of Numerators as per given numbers 6020/467, 8025/579 is
GCF of Numerators i.e. for 6020,8025 is 5
LCM of denominators i.e. for 467,579 is 270393.
Thus, GCF of Fractions is 5/270393.Finally, GCF of Fractions for 6020/467, 8025/579 is 5/270393.