GCF of 14/864, 33/896, 589/798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/864, 33/896, 589/798 i.e 1/459648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/864, 33/896, 589/798.
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 14/864,33/896,589/798?
Given fractions are 14/864,33/896,589/798
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 14/864,33/896,589/798, numerators are 14,33,589
Denominators are 864,896,798
The GCF of 14,33,589 is 1 .
LCM of 864,896,798 is 459648.
The greatest common factor of 14/864,33/896,589/798 = [GCF of 14,33,589]/[LCM of 864,896,798]= 1/459648
Therefore, the GCF of 14/864,33/896,589/798 is 1/459648.
To find the highest common factor of 14,33,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 33 are 1, 3, 11, 33
The factors of 589 are 1, 19, 31, 589
The HCF of 14,33,589 is 1.
Lets's calculate GCF of 14,33,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,33,589 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 14,33,589 . The biggest common factor number is the GCF number.
So the greatest common factor 14,33,589 is 1.
Lets's calculate LCM of 864,896,798
| 2 | 864, 896, 798 |
| 2 | 432, 448, 399 |
| 2 | 216, 224, 399 |
| 2 | 108, 112, 399 |
| 2 | 54, 56, 399 |
| 3 | 27, 28, 399 |
| 7 | 9, 28, 133 |
| 9, 4, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 7 x 9 x 4 x 19 = 459648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/459648
Therefore, the GCF of Fractions 14/864,33/896,589/798 is 1/459648
Least Common Multiple of 864,896,798 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 864,896,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,896,798) = 2
common factors(in case of two or more numbers have common factors) = 672
GCF(864,896,798) x common factors =2 x 672 = 1344
LCM(864,896,798) = ( 864 × 896 × 798 ) / 1344
LCM(864,896,798) = 617766912 / 1344
LCM(864,896,798) = 459648
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FAQs on GCF of Fractions of 14/864, 33/896, 589/798
1. What is the HCF of 14,33,589?
The HCF of 14,33,589 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 14/864, 33/896, 589/798?
Answer: GCF of Numerators as per given numbers 14/864, 33/896, 589/798 is
GCF of Numerators i.e. for 14,33,589 is 1
LCM of denominators i.e. for 864,896,798 is 459648.
Thus, GCF of Fractions is 1/459648.Finally, GCF of Fractions for 14/864, 33/896, 589/798 is 1/459648.