GCF of 451/63, 163/579
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 451/63, 163/579 i.e 1/12159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 451/63, 163/579.
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 451/63,163/579?
Given fractions are 451/63,163/579
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 451/63,163/579, numerators are 451,163
Denominators are 63,579
The GCF of 451,163 is 1 .
LCM of 63,579 is 12159.
The greatest common factor of 451/63,163/579 = [GCF of 451,163]/[LCM of 63,579]= 1/12159
Therefore, the GCF of 451/63,163/579 is 1/12159.
To find the highest common factor of 451,163, we have to find the factors of both numbers and list the highest common factor.
The factors of 451 are 1, 11, 41, 451
The factors of 163 are 1, 163
The HCF of 451,163 is 1.
Lets's calculate GCF of 451,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 451,163 By Matching Biggest Common Factor Method
Now, list down the factors of 451
:1,11,41,451
Now, list down the factors of 163
:1,163
Greatest Common Factor
We found the factors 451,163 . The biggest common factor number is the GCF number.
So the greatest common factor 451,163 is 1.
Lets's calculate LCM of 63,579
| 3 | 63, 579 |
| 21, 193 |
∴ So the LCM of the given numbers is 3 x 21 x 193 = 12159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12159
Therefore, the GCF of Fractions 451/63,163/579 is 1/12159
Least Common Multiple of 63,579 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 63,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,579) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,579) x common factors =3 x 1 = 3
LCM(63,579) = ( 63 × 579 ) / 3
LCM(63,579) = 36477 / 3
LCM(63,579) = 12159
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FAQs on GCF of Fractions of 451/63, 163/579
1. What is the HCF of 451,163?
The HCF of 451,163 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 451/63, 163/579?
Answer: GCF of Numerators as per given numbers 451/63, 163/579 is
GCF of Numerators i.e. for 451,163 is 1
LCM of denominators i.e. for 63,579 is 12159.
Thus, GCF of Fractions is 1/12159.Finally, GCF of Fractions for 451/63, 163/579 is 1/12159.