GCF of 593/30, 999/97, 198/87
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 593/30, 999/97, 198/87 i.e 1/84390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 593/30, 999/97, 198/87.
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 593/30,999/97,198/87?
Given fractions are 593/30,999/97,198/87
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 593/30,999/97,198/87, numerators are 593,999,198
Denominators are 30,97,87
The GCF of 593,999,198 is 1 .
LCM of 30,97,87 is 84390.
The greatest common factor of 593/30,999/97,198/87 = [GCF of 593,999,198]/[LCM of 30,97,87]= 1/84390
Therefore, the GCF of 593/30,999/97,198/87 is 1/84390.
To find the highest common factor of 593,999,198, we have to find the factors of both numbers and list the highest common factor.
The factors of 593 are 1, 593
The factors of 999 are 1, 3, 9, 27, 37, 111, 333, 999
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The HCF of 593,999,198 is 1.
Lets's calculate GCF of 593,999,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 593,999,198 By Matching Biggest Common Factor Method
Now, list down the factors of 593
:1,593
Now, list down the factors of 999
:1,3,9,27,37,111,333,999
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 593,999,198 . The biggest common factor number is the GCF number.
So the greatest common factor 593,999,198 is 1.
Lets's calculate LCM of 30,97,87
| 3 | 30, 97, 87 |
| 10, 97, 29 |
∴ So the LCM of the given numbers is 3 x 10 x 97 x 29 = 84390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84390
Therefore, the GCF of Fractions 593/30,999/97,198/87 is 1/84390
Least Common Multiple of 30,97,87 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 30,97,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,97,87) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(30,97,87) x common factors =1 x 3 = 3
LCM(30,97,87) = ( 30 × 97 × 87 ) / 3
LCM(30,97,87) = 253170 / 3
LCM(30,97,87) = 84390
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FAQs on GCF of Fractions of 593/30, 999/97, 198/87
1. What is the HCF of 593,999,198?
The HCF of 593,999,198 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 593/30, 999/97, 198/87?
Answer: GCF of Numerators as per given numbers 593/30, 999/97, 198/87 is
GCF of Numerators i.e. for 593,999,198 is 1
LCM of denominators i.e. for 30,97,87 is 84390.
Thus, GCF of Fractions is 1/84390.Finally, GCF of Fractions for 593/30, 999/97, 198/87 is 1/84390.