GCF of 6501/569, 2409/475
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6501/569, 2409/475 i.e 33/270275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6501/569, 2409/475.
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 6501/569,2409/475?
Given fractions are 6501/569,2409/475
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 6501/569,2409/475, numerators are 6501,2409
Denominators are 569,475
The GCF of 6501,2409 is 33 .
LCM of 569,475 is 270275.
The greatest common factor of 6501/569,2409/475 = [GCF of 6501,2409]/[LCM of 569,475]= 33/270275
Therefore, the GCF of 6501/569,2409/475 is 33/270275.
To find the highest common factor of 6501,2409, we have to find the factors of both numbers and list the highest common factor.
The factors of 6501 are 1, 3, 11, 33, 197, 591, 2167, 6501
The factors of 2409 are 1, 3, 11, 33, 73, 219, 803, 2409
The HCF of 6501,2409 is 33.
Lets's calculate GCF of 6501,2409
| 3 | 6501, 2409 |
| 11 | 2167, 803 |
| 197, 73 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 6501,2409 By Matching Biggest Common Factor Method
Now, list down the factors of 6501
:1,3,11,33,197,591,2167,6501
Now, list down the factors of 2409
:1,3,11,33,73,219,803,2409
Greatest Common Factor
We found the factors 6501,2409 . The biggest common factor number is the GCF number.
So the greatest common factor 6501,2409 is 33.
Lets's calculate LCM of 569,475
Given numbers has no common factors except 1. So, there LCM is their product i.e 270275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/270275
Therefore, the GCF of Fractions 6501/569,2409/475 is 33/270275
Least Common Multiple of 569,475 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 569,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,475) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,475) x common factors =1 x 1 = 1
LCM(569,475) = ( 569 × 475 ) / 1
LCM(569,475) = 270275 / 1
LCM(569,475) = 270275
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FAQs on GCF of Fractions of 6501/569, 2409/475
1. What is the HCF of 6501,2409?
The HCF of 6501,2409 is 33
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 6501/569, 2409/475?
Answer: GCF of Numerators as per given numbers 6501/569, 2409/475 is
GCF of Numerators i.e. for 6501,2409 is 33
LCM of denominators i.e. for 569,475 is 270275.
Thus, GCF of Fractions is 33/270275.Finally, GCF of Fractions for 6501/569, 2409/475 is 33/270275.