GCF of 7193/378, 5186/9819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7193/378, 5186/9819 i.e 1/412398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7193/378, 5186/9819.
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 7193/378,5186/9819?
Given fractions are 7193/378,5186/9819
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 7193/378,5186/9819, numerators are 7193,5186
Denominators are 378,9819
The GCF of 7193,5186 is 1 .
LCM of 378,9819 is 412398.
The greatest common factor of 7193/378,5186/9819 = [GCF of 7193,5186]/[LCM of 378,9819]= 1/412398
Therefore, the GCF of 7193/378,5186/9819 is 1/412398.
To find the highest common factor of 7193,5186, we have to find the factors of both numbers and list the highest common factor.
The factors of 7193 are 1, 7193
The factors of 5186 are 1, 2, 2593, 5186
The HCF of 7193,5186 is 1.
Lets's calculate GCF of 7193,5186
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7193,5186 By Matching Biggest Common Factor Method
Now, list down the factors of 7193
:1,7193
Now, list down the factors of 5186
:1,2,2593,5186
Greatest Common Factor
We found the factors 7193,5186 . The biggest common factor number is the GCF number.
So the greatest common factor 7193,5186 is 1.
Lets's calculate LCM of 378,9819
| 3 | 378, 9819 |
| 3 | 126, 3273 |
| 42, 1091 |
∴ So the LCM of the given numbers is 3 x 3 x 42 x 1091 = 412398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412398
Therefore, the GCF of Fractions 7193/378,5186/9819 is 1/412398
Least Common Multiple of 378,9819 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 378,9819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,9819) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(378,9819) x common factors =9 x 1 = 9
LCM(378,9819) = ( 378 × 9819 ) / 9
LCM(378,9819) = 3711582 / 9
LCM(378,9819) = 412398
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FAQs on GCF of Fractions of 7193/378, 5186/9819
1. What is the HCF of 7193,5186?
The HCF of 7193,5186 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 7193/378, 5186/9819?
Answer: GCF of Numerators as per given numbers 7193/378, 5186/9819 is
GCF of Numerators i.e. for 7193,5186 is 1
LCM of denominators i.e. for 378,9819 is 412398.
Thus, GCF of Fractions is 1/412398.Finally, GCF of Fractions for 7193/378, 5186/9819 is 1/412398.