GCF of 17/394, 19/563, 210/394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/394, 19/563, 210/394 i.e 1/221822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/394, 19/563, 210/394.
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 17/394,19/563,210/394?
Given fractions are 17/394,19/563,210/394
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 17/394,19/563,210/394, numerators are 17,19,210
Denominators are 394,563,394
The GCF of 17,19,210 is 1 .
LCM of 394,563,394 is 221822.
The greatest common factor of 17/394,19/563,210/394 = [GCF of 17,19,210]/[LCM of 394,563,394]= 1/221822
Therefore, the GCF of 17/394,19/563,210/394 is 1/221822.
To find the highest common factor of 17,19,210, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 19 are 1, 19
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The HCF of 17,19,210 is 1.
Lets's calculate GCF of 17,19,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,19,210 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 19
:1,19
Now, list down the factors of 210
:1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 17,19,210 . The biggest common factor number is the GCF number.
So the greatest common factor 17,19,210 is 1.
Lets's calculate LCM of 394,563,394
| 2 | 394, 563, 394 |
| 197 | 197, 563, 197 |
| 1, 563, 1 |
∴ So the LCM of the given numbers is 2 x 197 x 1 x 563 x 1 = 221822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221822
Therefore, the GCF of Fractions 17/394,19/563,210/394 is 1/221822
Least Common Multiple of 394,563,394 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 394,563,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,563,394) = 1
common factors(in case of two or more numbers have common factors) = 394
GCF(394,563,394) x common factors =1 x 394 = 394
LCM(394,563,394) = ( 394 × 563 × 394 ) / 394
LCM(394,563,394) = 87397868 / 394
LCM(394,563,394) = 221822
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FAQs on GCF of Fractions of 17/394, 19/563, 210/394
1. What is the HCF of 17,19,210?
The HCF of 17,19,210 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 17/394, 19/563, 210/394?
Answer: GCF of Numerators as per given numbers 17/394, 19/563, 210/394 is
GCF of Numerators i.e. for 17,19,210 is 1
LCM of denominators i.e. for 394,563,394 is 221822.
Thus, GCF of Fractions is 1/221822.Finally, GCF of Fractions for 17/394, 19/563, 210/394 is 1/221822.