GCF of 27/448, 66/431, 493/526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 27/448, 66/431, 493/526 i.e 1/50782144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/448, 66/431, 493/526.
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 27/448,66/431,493/526?
Given fractions are 27/448,66/431,493/526
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 27/448,66/431,493/526, numerators are 27,66,493
Denominators are 448,431,526
The GCF of 27,66,493 is 1 .
LCM of 448,431,526 is 50782144.
The greatest common factor of 27/448,66/431,493/526 = [GCF of 27,66,493]/[LCM of 448,431,526]= 1/50782144
Therefore, the GCF of 27/448,66/431,493/526 is 1/50782144.
To find the highest common factor of 27,66,493, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 493 are 1, 17, 29, 493
The HCF of 27,66,493 is 1.
Lets's calculate GCF of 27,66,493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 27,66,493 By Matching Biggest Common Factor Method
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 493
:1,17,29,493
Greatest Common Factor
We found the factors 27,66,493 . The biggest common factor number is the GCF number.
So the greatest common factor 27,66,493 is 1.
Lets's calculate LCM of 448,431,526
| 2 | 448, 431, 526 |
| 224, 431, 263 |
∴ So the LCM of the given numbers is 2 x 224 x 431 x 263 = 50782144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50782144
Therefore, the GCF of Fractions 27/448,66/431,493/526 is 1/50782144
Least Common Multiple of 448,431,526 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 448,431,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,431,526) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(448,431,526) x common factors =1 x 2 = 2
LCM(448,431,526) = ( 448 × 431 × 526 ) / 2
LCM(448,431,526) = 101564288 / 2
LCM(448,431,526) = 50782144
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FAQs on GCF of Fractions of 27/448, 66/431, 493/526
1. What is the HCF of 27,66,493?
The HCF of 27,66,493 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 27/448, 66/431, 493/526?
Answer: GCF of Numerators as per given numbers 27/448, 66/431, 493/526 is
GCF of Numerators i.e. for 27,66,493 is 1
LCM of denominators i.e. for 448,431,526 is 50782144.
Thus, GCF of Fractions is 1/50782144.Finally, GCF of Fractions for 27/448, 66/431, 493/526 is 1/50782144.