GCF of 384/36, 589/3758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 384/36, 589/3758 i.e 1/67644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 384/36, 589/3758.
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 384/36,589/3758?
Given fractions are 384/36,589/3758
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 384/36,589/3758, numerators are 384,589
Denominators are 36,3758
The GCF of 384,589 is 1 .
LCM of 36,3758 is 67644.
The greatest common factor of 384/36,589/3758 = [GCF of 384,589]/[LCM of 36,3758]= 1/67644
Therefore, the GCF of 384/36,589/3758 is 1/67644.
To find the highest common factor of 384,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
The factors of 589 are 1, 19, 31, 589
The HCF of 384,589 is 1.
Lets's calculate GCF of 384,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 384,589 By Matching Biggest Common Factor Method
Now, list down the factors of 384
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 384,589 . The biggest common factor number is the GCF number.
So the greatest common factor 384,589 is 1.
Lets's calculate LCM of 36,3758
| 2 | 36, 3758 |
| 18, 1879 |
∴ So the LCM of the given numbers is 2 x 18 x 1879 = 67644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67644
Therefore, the GCF of Fractions 384/36,589/3758 is 1/67644
Least Common Multiple of 36,3758 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 36,3758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,3758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(36,3758) x common factors =2 x 1 = 2
LCM(36,3758) = ( 36 × 3758 ) / 2
LCM(36,3758) = 135288 / 2
LCM(36,3758) = 67644
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FAQs on GCF of Fractions of 384/36, 589/3758
1. What is the HCF of 384,589?
The HCF of 384,589 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 384/36, 589/3758?
Answer: GCF of Numerators as per given numbers 384/36, 589/3758 is
GCF of Numerators i.e. for 384,589 is 1
LCM of denominators i.e. for 36,3758 is 67644.
Thus, GCF of Fractions is 1/67644.Finally, GCF of Fractions for 384/36, 589/3758 is 1/67644.