GCF of 599/86, 489/5979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 599/86, 489/5979 i.e 1/514194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 599/86, 489/5979.
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 599/86,489/5979?
Given fractions are 599/86,489/5979
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 599/86,489/5979, numerators are 599,489
Denominators are 86,5979
The GCF of 599,489 is 1 .
LCM of 86,5979 is 514194.
The greatest common factor of 599/86,489/5979 = [GCF of 599,489]/[LCM of 86,5979]= 1/514194
Therefore, the GCF of 599/86,489/5979 is 1/514194.
To find the highest common factor of 599,489, we have to find the factors of both numbers and list the highest common factor.
The factors of 599 are 1, 599
The factors of 489 are 1, 3, 163, 489
The HCF of 599,489 is 1.
Lets's calculate GCF of 599,489
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 599,489 By Matching Biggest Common Factor Method
Now, list down the factors of 599
:1,599
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 599,489 . The biggest common factor number is the GCF number.
So the greatest common factor 599,489 is 1.
Lets's calculate LCM of 86,5979
Given numbers has no common factors except 1. So, there LCM is their product i.e 514194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/514194
Therefore, the GCF of Fractions 599/86,489/5979 is 1/514194
Least Common Multiple of 86,5979 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 86,5979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,5979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,5979) x common factors =1 x 1 = 1
LCM(86,5979) = ( 86 × 5979 ) / 1
LCM(86,5979) = 514194 / 1
LCM(86,5979) = 514194
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FAQs on GCF of Fractions of 599/86, 489/5979
1. What is the HCF of 599,489?
The HCF of 599,489 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 599/86, 489/5979?
Answer: GCF of Numerators as per given numbers 599/86, 489/5979 is
GCF of Numerators i.e. for 599,489 is 1
LCM of denominators i.e. for 86,5979 is 514194.
Thus, GCF of Fractions is 1/514194.Finally, GCF of Fractions for 599/86, 489/5979 is 1/514194.