GCF of 816/69, 583/33, 810/82
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 816/69, 583/33, 810/82 i.e 1/62238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 816/69, 583/33, 810/82.
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 816/69,583/33,810/82?
Given fractions are 816/69,583/33,810/82
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 816/69,583/33,810/82, numerators are 816,583,810
Denominators are 69,33,82
The GCF of 816,583,810 is 1 .
LCM of 69,33,82 is 62238.
The greatest common factor of 816/69,583/33,810/82 = [GCF of 816,583,810]/[LCM of 69,33,82]= 1/62238
Therefore, the GCF of 816/69,583/33,810/82 is 1/62238.
To find the highest common factor of 816,583,810, we have to find the factors of both numbers and list the highest common factor.
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The factors of 583 are 1, 11, 53, 583
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The HCF of 816,583,810 is 1.
Lets's calculate GCF of 816,583,810
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 816,583,810 By Matching Biggest Common Factor Method
Now, list down the factors of 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Now, list down the factors of 583
:1,11,53,583
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 816,583,810 . The biggest common factor number is the GCF number.
So the greatest common factor 816,583,810 is 1.
Lets's calculate LCM of 69,33,82
| 3 | 69, 33, 82 |
| 23, 11, 82 |
∴ So the LCM of the given numbers is 3 x 23 x 11 x 82 = 62238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62238
Therefore, the GCF of Fractions 816/69,583/33,810/82 is 1/62238
Least Common Multiple of 69,33,82 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 69,33,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,33,82) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,33,82) x common factors =1 x 3 = 3
LCM(69,33,82) = ( 69 × 33 × 82 ) / 3
LCM(69,33,82) = 186714 / 3
LCM(69,33,82) = 62238
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 816/69, 583/33, 810/82
1. What is the HCF of 816,583,810?
The HCF of 816,583,810 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 816/69, 583/33, 810/82?
Answer: GCF of Numerators as per given numbers 816/69, 583/33, 810/82 is
GCF of Numerators i.e. for 816,583,810 is 1
LCM of denominators i.e. for 69,33,82 is 62238.
Thus, GCF of Fractions is 1/62238.Finally, GCF of Fractions for 816/69, 583/33, 810/82 is 1/62238.