GCF of 81/340, 756/290, 589/468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/340, 756/290, 589/468 i.e 1/1153620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/340, 756/290, 589/468.
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 81/340,756/290,589/468?
Given fractions are 81/340,756/290,589/468
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 81/340,756/290,589/468, numerators are 81,756,589
Denominators are 340,290,468
The GCF of 81,756,589 is 1 .
LCM of 340,290,468 is 1153620.
The greatest common factor of 81/340,756/290,589/468 = [GCF of 81,756,589]/[LCM of 340,290,468]= 1/1153620
Therefore, the GCF of 81/340,756/290,589/468 is 1/1153620.
To find the highest common factor of 81,756,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
The factors of 589 are 1, 19, 31, 589
The HCF of 81,756,589 is 1.
Lets's calculate GCF of 81,756,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,756,589 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 756
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 81,756,589 . The biggest common factor number is the GCF number.
So the greatest common factor 81,756,589 is 1.
Lets's calculate LCM of 340,290,468
| 2 | 340, 290, 468 |
| 2 | 170, 145, 234 |
| 5 | 85, 145, 117 |
| 17, 29, 117 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 29 x 117 = 1153620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1153620
Therefore, the GCF of Fractions 81/340,756/290,589/468 is 1/1153620
Least Common Multiple of 340,290,468 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 340,290,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,290,468) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(340,290,468) x common factors =2 x 20 = 40
LCM(340,290,468) = ( 340 × 290 × 468 ) / 40
LCM(340,290,468) = 46144800 / 40
LCM(340,290,468) = 1153620
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 81/340, 756/290, 589/468
1. What is the HCF of 81,756,589?
The HCF of 81,756,589 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 81/340, 756/290, 589/468?
Answer: GCF of Numerators as per given numbers 81/340, 756/290, 589/468 is
GCF of Numerators i.e. for 81,756,589 is 1
LCM of denominators i.e. for 340,290,468 is 1153620.
Thus, GCF of Fractions is 1/1153620.Finally, GCF of Fractions for 81/340, 756/290, 589/468 is 1/1153620.