GCF of 2405/587, 4277/2259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2405/587, 4277/2259 i.e 13/1326033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2405/587, 4277/2259.
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 2405/587,4277/2259?
Given fractions are 2405/587,4277/2259
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 2405/587,4277/2259, numerators are 2405,4277
Denominators are 587,2259
The GCF of 2405,4277 is 13 .
LCM of 587,2259 is 1326033.
The greatest common factor of 2405/587,4277/2259 = [GCF of 2405,4277]/[LCM of 587,2259]= 13/1326033
Therefore, the GCF of 2405/587,4277/2259 is 13/1326033.
To find the highest common factor of 2405,4277, 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 4277 are 1, 7, 13, 47, 91, 329, 611, 4277
The HCF of 2405,4277 is 13.
Lets's calculate GCF of 2405,4277
| 13 | 2405, 4277 |
| 185, 329 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2405,4277 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 4277
:1,7,13,47,91,329,611,4277
Greatest Common Factor
We found the factors 2405,4277 . The biggest common factor number is the GCF number.
So the greatest common factor 2405,4277 is 13.
Lets's calculate LCM of 587,2259
Given numbers has no common factors except 1. So, there LCM is their product i.e 1326033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1326033
Therefore, the GCF of Fractions 2405/587,4277/2259 is 13/1326033
Least Common Multiple of 587,2259 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 587,2259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,2259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,2259) x common factors =1 x 1 = 1
LCM(587,2259) = ( 587 × 2259 ) / 1
LCM(587,2259) = 1326033 / 1
LCM(587,2259) = 1326033
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FAQs on GCF of Fractions of 2405/587, 4277/2259
1. What is the HCF of 2405,4277?
The HCF of 2405,4277 is 13
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 2405/587, 4277/2259?
Answer: GCF of Numerators as per given numbers 2405/587, 4277/2259 is
GCF of Numerators i.e. for 2405,4277 is 13
LCM of denominators i.e. for 587,2259 is 1326033.
Thus, GCF of Fractions is 13/1326033.Finally, GCF of Fractions for 2405/587, 4277/2259 is 13/1326033.