GCF of 2405/405, 7150/1439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2405/405, 7150/1439 i.e 65/582795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2405/405, 7150/1439.
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 2405/405,7150/1439?
Given fractions are 2405/405,7150/1439
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 2405/405,7150/1439, numerators are 2405,7150
Denominators are 405,1439
The GCF of 2405,7150 is 65 .
LCM of 405,1439 is 582795.
The greatest common factor of 2405/405,7150/1439 = [GCF of 2405,7150]/[LCM of 405,1439]= 65/582795
Therefore, the GCF of 2405/405,7150/1439 is 65/582795.
To find the highest common factor of 2405,7150, we have to find the factors of both numbers and list the highest common factor.
The factors of 2405 are 1, 5, 13, 37, 65, 185, 481, 2405
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The HCF of 2405,7150 is 65.
Lets's calculate GCF of 2405,7150
| 5 | 2405, 7150 |
| 13 | 481, 1430 |
| 37, 110 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 2405,7150 By Matching Biggest Common Factor Method
Now, list down the factors of 2405
:1,5,13,37,65,185,481,2405
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Greatest Common Factor
We found the factors 2405,7150 . The biggest common factor number is the GCF number.
So the greatest common factor 2405,7150 is 65.
Lets's calculate LCM of 405,1439
Given numbers has no common factors except 1. So, there LCM is their product i.e 582795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/582795
Therefore, the GCF of Fractions 2405/405,7150/1439 is 65/582795
Least Common Multiple of 405,1439 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 405,1439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,1439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,1439) x common factors =1 x 1 = 1
LCM(405,1439) = ( 405 × 1439 ) / 1
LCM(405,1439) = 582795 / 1
LCM(405,1439) = 582795
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FAQs on GCF of Fractions of 2405/405, 7150/1439
1. What is the HCF of 2405,7150?
The HCF of 2405,7150 is 65
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 2405/405, 7150/1439?
Answer: GCF of Numerators as per given numbers 2405/405, 7150/1439 is
GCF of Numerators i.e. for 2405,7150 is 65
LCM of denominators i.e. for 405,1439 is 582795.
Thus, GCF of Fractions is 65/582795.Finally, GCF of Fractions for 2405/405, 7150/1439 is 65/582795.