GCF of 8517/593, 4077/3205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8517/593, 4077/3205 i.e 3/1900565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8517/593, 4077/3205.
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 8517/593,4077/3205?
Given fractions are 8517/593,4077/3205
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 8517/593,4077/3205, numerators are 8517,4077
Denominators are 593,3205
The GCF of 8517,4077 is 3 .
LCM of 593,3205 is 1900565.
The greatest common factor of 8517/593,4077/3205 = [GCF of 8517,4077]/[LCM of 593,3205]= 3/1900565
Therefore, the GCF of 8517/593,4077/3205 is 3/1900565.
To find the highest common factor of 8517,4077, we have to find the factors of both numbers and list the highest common factor.
The factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517
The factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077
The HCF of 8517,4077 is 3.
Lets's calculate GCF of 8517,4077
| 3 | 8517, 4077 |
| 2839, 1359 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8517,4077 By Matching Biggest Common Factor Method
Now, list down the factors of 8517
:1,3,17,51,167,501,2839,8517
Now, list down the factors of 4077
:1,3,9,27,151,453,1359,4077
Greatest Common Factor
We found the factors 8517,4077 . The biggest common factor number is the GCF number.
So the greatest common factor 8517,4077 is 3.
Lets's calculate LCM of 593,3205
Given numbers has no common factors except 1. So, there LCM is their product i.e 1900565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1900565
Therefore, the GCF of Fractions 8517/593,4077/3205 is 3/1900565
Least Common Multiple of 593,3205 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 593,3205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,3205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,3205) x common factors =1 x 1 = 1
LCM(593,3205) = ( 593 × 3205 ) / 1
LCM(593,3205) = 1900565 / 1
LCM(593,3205) = 1900565
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FAQs on GCF of Fractions of 8517/593, 4077/3205
1. What is the HCF of 8517,4077?
The HCF of 8517,4077 is 3
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 8517/593, 4077/3205?
Answer: GCF of Numerators as per given numbers 8517/593, 4077/3205 is
GCF of Numerators i.e. for 8517,4077 is 3
LCM of denominators i.e. for 593,3205 is 1900565.
Thus, GCF of Fractions is 3/1900565.Finally, GCF of Fractions for 8517/593, 4077/3205 is 3/1900565.