GCF of 28/534, 66/541, 493/524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/534, 66/541, 493/524 i.e 1/75690228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/534, 66/541, 493/524.
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 28/534,66/541,493/524?
Given fractions are 28/534,66/541,493/524
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 28/534,66/541,493/524, numerators are 28,66,493
Denominators are 534,541,524
The GCF of 28,66,493 is 1 .
LCM of 534,541,524 is 75690228.
The greatest common factor of 28/534,66/541,493/524 = [GCF of 28,66,493]/[LCM of 534,541,524]= 1/75690228
Therefore, the GCF of 28/534,66/541,493/524 is 1/75690228.
To find the highest common factor of 28,66,493, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
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 28,66,493 is 1.
Lets's calculate GCF of 28,66,493
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 28,66,493 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
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 28,66,493 . The biggest common factor number is the GCF number.
So the greatest common factor 28,66,493 is 1.
Lets's calculate LCM of 534,541,524
| 2 | 534, 541, 524 |
| 267, 541, 262 |
∴ So the LCM of the given numbers is 2 x 267 x 541 x 262 = 75690228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75690228
Therefore, the GCF of Fractions 28/534,66/541,493/524 is 1/75690228
Least Common Multiple of 534,541,524 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 534,541,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,541,524) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(534,541,524) x common factors =1 x 2 = 2
LCM(534,541,524) = ( 534 × 541 × 524 ) / 2
LCM(534,541,524) = 151380456 / 2
LCM(534,541,524) = 75690228
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FAQs on GCF of Fractions of 28/534, 66/541, 493/524
1. What is the HCF of 28,66,493?
The HCF of 28,66,493 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 28/534, 66/541, 493/524?
Answer: GCF of Numerators as per given numbers 28/534, 66/541, 493/524 is
GCF of Numerators i.e. for 28,66,493 is 1
LCM of denominators i.e. for 534,541,524 is 75690228.
Thus, GCF of Fractions is 1/75690228.Finally, GCF of Fractions for 28/534, 66/541, 493/524 is 1/75690228.