GCF of 529/353, 1311/218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 529/353, 1311/218 i.e 23/76954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/353, 1311/218.
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 529/353,1311/218?
Given fractions are 529/353,1311/218
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 529/353,1311/218, numerators are 529,1311
Denominators are 353,218
The GCF of 529,1311 is 23 .
LCM of 353,218 is 76954.
The greatest common factor of 529/353,1311/218 = [GCF of 529,1311]/[LCM of 353,218]= 23/76954
Therefore, the GCF of 529/353,1311/218 is 23/76954.
To find the highest common factor of 529,1311, we have to find the factors of both numbers and list the highest common factor.
The factors of 529 are 1, 23, 529
The factors of 1311 are 1, 3, 19, 23, 57, 69, 437, 1311
The HCF of 529,1311 is 23.
Lets's calculate GCF of 529,1311
| 23 | 529, 1311 |
| 23, 57 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 529,1311 By Matching Biggest Common Factor Method
Now, list down the factors of 529
:1,23,529
Now, list down the factors of 1311
:1,3,19,23,57,69,437,1311
Greatest Common Factor
We found the factors 529,1311 . The biggest common factor number is the GCF number.
So the greatest common factor 529,1311 is 23.
Lets's calculate LCM of 353,218
Given numbers has no common factors except 1. So, there LCM is their product i.e 76954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/76954
Therefore, the GCF of Fractions 529/353,1311/218 is 23/76954
Least Common Multiple of 353,218 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 353,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,218) x common factors =1 x 1 = 1
LCM(353,218) = ( 353 × 218 ) / 1
LCM(353,218) = 76954 / 1
LCM(353,218) = 76954
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FAQs on GCF of Fractions of 529/353, 1311/218
1. What is the HCF of 529,1311?
The HCF of 529,1311 is 23
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 529/353, 1311/218?
Answer: GCF of Numerators as per given numbers 529/353, 1311/218 is
GCF of Numerators i.e. for 529,1311 is 23
LCM of denominators i.e. for 353,218 is 76954.
Thus, GCF of Fractions is 23/76954.Finally, GCF of Fractions for 529/353, 1311/218 is 23/76954.