GCF of 597/404, 1794/213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 597/404, 1794/213 i.e 3/86052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 597/404, 1794/213.
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 597/404,1794/213?
Given fractions are 597/404,1794/213
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 597/404,1794/213, numerators are 597,1794
Denominators are 404,213
The GCF of 597,1794 is 3 .
LCM of 404,213 is 86052.
The greatest common factor of 597/404,1794/213 = [GCF of 597,1794]/[LCM of 404,213]= 3/86052
Therefore, the GCF of 597/404,1794/213 is 3/86052.
To find the highest common factor of 597,1794, we have to find the factors of both numbers and list the highest common factor.
The factors of 597 are 1, 3, 199, 597
The factors of 1794 are 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897, 1794
The HCF of 597,1794 is 3.
Lets's calculate GCF of 597,1794
| 3 | 597, 1794 |
| 199, 598 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 597,1794 By Matching Biggest Common Factor Method
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 1794
:1,2,3,6,13,23,26,39,46,69,78,138,299,598,897,1794
Greatest Common Factor
We found the factors 597,1794 . The biggest common factor number is the GCF number.
So the greatest common factor 597,1794 is 3.
Lets's calculate LCM of 404,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 86052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/86052
Therefore, the GCF of Fractions 597/404,1794/213 is 3/86052
Least Common Multiple of 404,213 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 404,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,213) x common factors =1 x 1 = 1
LCM(404,213) = ( 404 × 213 ) / 1
LCM(404,213) = 86052 / 1
LCM(404,213) = 86052
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FAQs on GCF of Fractions of 597/404, 1794/213
1. What is the HCF of 597,1794?
The HCF of 597,1794 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 597/404, 1794/213?
Answer: GCF of Numerators as per given numbers 597/404, 1794/213 is
GCF of Numerators i.e. for 597,1794 is 3
LCM of denominators i.e. for 404,213 is 86052.
Thus, GCF of Fractions is 3/86052.Finally, GCF of Fractions for 597/404, 1794/213 is 3/86052.