GCF of 5769/267, 9824/3255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5769/267, 9824/3255 i.e 1/289695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5769/267, 9824/3255.
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 5769/267,9824/3255?
Given fractions are 5769/267,9824/3255
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 5769/267,9824/3255, numerators are 5769,9824
Denominators are 267,3255
The GCF of 5769,9824 is 1 .
LCM of 267,3255 is 289695.
The greatest common factor of 5769/267,9824/3255 = [GCF of 5769,9824]/[LCM of 267,3255]= 1/289695
Therefore, the GCF of 5769/267,9824/3255 is 1/289695.
To find the highest common factor of 5769,9824, we have to find the factors of both numbers and list the highest common factor.
The factors of 5769 are 1, 3, 9, 641, 1923, 5769
The factors of 9824 are 1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824
The HCF of 5769,9824 is 1.
Lets's calculate GCF of 5769,9824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5769,9824 By Matching Biggest Common Factor Method
Now, list down the factors of 5769
:1,3,9,641,1923,5769
Now, list down the factors of 9824
:1,2,4,8,16,32,307,614,1228,2456,4912,9824
Greatest Common Factor
We found the factors 5769,9824 . The biggest common factor number is the GCF number.
So the greatest common factor 5769,9824 is 1.
Lets's calculate LCM of 267,3255
| 3 | 267, 3255 |
| 89, 1085 |
∴ So the LCM of the given numbers is 3 x 89 x 1085 = 289695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289695
Therefore, the GCF of Fractions 5769/267,9824/3255 is 1/289695
Least Common Multiple of 267,3255 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 267,3255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,3255) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,3255) x common factors =3 x 1 = 3
LCM(267,3255) = ( 267 × 3255 ) / 3
LCM(267,3255) = 869085 / 3
LCM(267,3255) = 289695
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FAQs on GCF of Fractions of 5769/267, 9824/3255
1. What is the HCF of 5769,9824?
The HCF of 5769,9824 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 5769/267, 9824/3255?
Answer: GCF of Numerators as per given numbers 5769/267, 9824/3255 is
GCF of Numerators i.e. for 5769,9824 is 1
LCM of denominators i.e. for 267,3255 is 289695.
Thus, GCF of Fractions is 1/289695.Finally, GCF of Fractions for 5769/267, 9824/3255 is 1/289695.