GCF of 5799/119, 8517/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5799/119, 8517/486 i.e 3/57834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5799/119, 8517/486.
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 5799/119,8517/486?
Given fractions are 5799/119,8517/486
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 5799/119,8517/486, numerators are 5799,8517
Denominators are 119,486
The GCF of 5799,8517 is 3 .
LCM of 119,486 is 57834.
The greatest common factor of 5799/119,8517/486 = [GCF of 5799,8517]/[LCM of 119,486]= 3/57834
Therefore, the GCF of 5799/119,8517/486 is 3/57834.
To find the highest common factor of 5799,8517, we have to find the factors of both numbers and list the highest common factor.
The factors of 5799 are 1, 3, 1933, 5799
The factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517
The HCF of 5799,8517 is 3.
Lets's calculate GCF of 5799,8517
| 3 | 5799, 8517 |
| 1933, 2839 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5799,8517 By Matching Biggest Common Factor Method
Now, list down the factors of 5799
:1,3,1933,5799
Now, list down the factors of 8517
:1,3,17,51,167,501,2839,8517
Greatest Common Factor
We found the factors 5799,8517 . The biggest common factor number is the GCF number.
So the greatest common factor 5799,8517 is 3.
Lets's calculate LCM of 119,486
Given numbers has no common factors except 1. So, there LCM is their product i.e 57834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/57834
Therefore, the GCF of Fractions 5799/119,8517/486 is 3/57834
Least Common Multiple of 119,486 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 119,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,486) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,486) x common factors =1 x 1 = 1
LCM(119,486) = ( 119 × 486 ) / 1
LCM(119,486) = 57834 / 1
LCM(119,486) = 57834
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FAQs on GCF of Fractions of 5799/119, 8517/486
1. What is the HCF of 5799,8517?
The HCF of 5799,8517 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 5799/119, 8517/486?
Answer: GCF of Numerators as per given numbers 5799/119, 8517/486 is
GCF of Numerators i.e. for 5799,8517 is 3
LCM of denominators i.e. for 119,486 is 57834.
Thus, GCF of Fractions is 3/57834.Finally, GCF of Fractions for 5799/119, 8517/486 is 3/57834.