GCF of 21/404, 171/536, 579/588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 21/404, 171/536, 579/588 i.e 3/7957992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/404, 171/536, 579/588.
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 21/404,171/536,579/588?
Given fractions are 21/404,171/536,579/588
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 21/404,171/536,579/588, numerators are 21,171,579
Denominators are 404,536,588
The GCF of 21,171,579 is 3 .
LCM of 404,536,588 is 7957992.
The greatest common factor of 21/404,171/536,579/588 = [GCF of 21,171,579]/[LCM of 404,536,588]= 3/7957992
Therefore, the GCF of 21/404,171/536,579/588 is 3/7957992.
To find the highest common factor of 21,171,579, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 171 are 1, 3, 9, 19, 57, 171
The factors of 579 are 1, 3, 193, 579
The HCF of 21,171,579 is 3.
Lets's calculate GCF of 21,171,579
| 3 | 21, 171, 579 |
| 7, 57, 193 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 21,171,579 By Matching Biggest Common Factor Method
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 171
:1,3,9,19,57,171
Now, list down the factors of 579
:1,3,193,579
Greatest Common Factor
We found the factors 21,171,579 . The biggest common factor number is the GCF number.
So the greatest common factor 21,171,579 is 3.
Lets's calculate LCM of 404,536,588
| 2 | 404, 536, 588 |
| 2 | 202, 268, 294 |
| 101, 134, 147 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 134 x 147 = 7957992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7957992
Therefore, the GCF of Fractions 21/404,171/536,579/588 is 3/7957992
Least Common Multiple of 404,536,588 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 404,536,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,536,588) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(404,536,588) x common factors =4 x 4 = 16
LCM(404,536,588) = ( 404 × 536 × 588 ) / 16
LCM(404,536,588) = 127327872 / 16
LCM(404,536,588) = 7957992
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FAQs on GCF of Fractions of 21/404, 171/536, 579/588
1. What is the HCF of 21,171,579?
The HCF of 21,171,579 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 21/404, 171/536, 579/588?
Answer: GCF of Numerators as per given numbers 21/404, 171/536, 579/588 is
GCF of Numerators i.e. for 21,171,579 is 3
LCM of denominators i.e. for 404,536,588 is 7957992.
Thus, GCF of Fractions is 3/7957992.Finally, GCF of Fractions for 21/404, 171/536, 579/588 is 3/7957992.