GCF of 409/544, 7569/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 409/544, 7569/990 i.e 1/269280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 409/544, 7569/990.
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 409/544,7569/990?
Given fractions are 409/544,7569/990
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 409/544,7569/990, numerators are 409,7569
Denominators are 544,990
The GCF of 409,7569 is 1 .
LCM of 544,990 is 269280.
The greatest common factor of 409/544,7569/990 = [GCF of 409,7569]/[LCM of 544,990]= 1/269280
Therefore, the GCF of 409/544,7569/990 is 1/269280.
To find the highest common factor of 409,7569, we have to find the factors of both numbers and list the highest common factor.
The factors of 409 are 1, 409
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The HCF of 409,7569 is 1.
Lets's calculate GCF of 409,7569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 409,7569 By Matching Biggest Common Factor Method
Now, list down the factors of 409
:1,409
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Greatest Common Factor
We found the factors 409,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 409,7569 is 1.
Lets's calculate LCM of 544,990
| 2 | 544, 990 |
| 272, 495 |
∴ So the LCM of the given numbers is 2 x 272 x 495 = 269280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269280
Therefore, the GCF of Fractions 409/544,7569/990 is 1/269280
Least Common Multiple of 544,990 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 544,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,990) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(544,990) x common factors =2 x 1 = 2
LCM(544,990) = ( 544 × 990 ) / 2
LCM(544,990) = 538560 / 2
LCM(544,990) = 269280
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FAQs on GCF of Fractions of 409/544, 7569/990
1. What is the HCF of 409,7569?
The HCF of 409,7569 is 1
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 409/544, 7569/990?
Answer: GCF of Numerators as per given numbers 409/544, 7569/990 is
GCF of Numerators i.e. for 409,7569 is 1
LCM of denominators i.e. for 544,990 is 269280.
Thus, GCF of Fractions is 1/269280.Finally, GCF of Fractions for 409/544, 7569/990 is 1/269280.