GCF of 163/396, 717/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 163/396, 717/474 i.e 1/31284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 163/396, 717/474.
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 163/396,717/474?
Given fractions are 163/396,717/474
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 163/396,717/474, numerators are 163,717
Denominators are 396,474
The GCF of 163,717 is 1 .
LCM of 396,474 is 31284.
The greatest common factor of 163/396,717/474 = [GCF of 163,717]/[LCM of 396,474]= 1/31284
Therefore, the GCF of 163/396,717/474 is 1/31284.
To find the highest common factor of 163,717, we have to find the factors of both numbers and list the highest common factor.
The factors of 163 are 1, 163
The factors of 717 are 1, 3, 239, 717
The HCF of 163,717 is 1.
Lets's calculate GCF of 163,717
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 163,717 By Matching Biggest Common Factor Method
Now, list down the factors of 163
:1,163
Now, list down the factors of 717
:1,3,239,717
Greatest Common Factor
We found the factors 163,717 . The biggest common factor number is the GCF number.
So the greatest common factor 163,717 is 1.
Lets's calculate LCM of 396,474
| 2 | 396, 474 |
| 3 | 198, 237 |
| 66, 79 |
∴ So the LCM of the given numbers is 2 x 3 x 66 x 79 = 31284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31284
Therefore, the GCF of Fractions 163/396,717/474 is 1/31284
Least Common Multiple of 396,474 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 396,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,474) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(396,474) x common factors =6 x 1 = 6
LCM(396,474) = ( 396 × 474 ) / 6
LCM(396,474) = 187704 / 6
LCM(396,474) = 31284
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FAQs on GCF of Fractions of 163/396, 717/474
1. What is the HCF of 163,717?
The HCF of 163,717 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 163/396, 717/474?
Answer: GCF of Numerators as per given numbers 163/396, 717/474 is
GCF of Numerators i.e. for 163,717 is 1
LCM of denominators i.e. for 396,474 is 31284.
Thus, GCF of Fractions is 1/31284.Finally, GCF of Fractions for 163/396, 717/474 is 1/31284.