GCF of 513/704, 1311/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 513/704, 1311/151 i.e 57/106304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 513/704, 1311/151.
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 513/704,1311/151?
Given fractions are 513/704,1311/151
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 513/704,1311/151, numerators are 513,1311
Denominators are 704,151
The GCF of 513,1311 is 57 .
LCM of 704,151 is 106304.
The greatest common factor of 513/704,1311/151 = [GCF of 513,1311]/[LCM of 704,151]= 57/106304
Therefore, the GCF of 513/704,1311/151 is 57/106304.
To find the highest common factor of 513,1311, we have to find the factors of both numbers and list the highest common factor.
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The factors of 1311 are 1, 3, 19, 23, 57, 69, 437, 1311
The HCF of 513,1311 is 57.
Lets's calculate GCF of 513,1311
| 3 | 513, 1311 |
| 19 | 171, 437 |
| 9, 23 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 513,1311 By Matching Biggest Common Factor Method
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Now, list down the factors of 1311
:1,3,19,23,57,69,437,1311
Greatest Common Factor
We found the factors 513,1311 . The biggest common factor number is the GCF number.
So the greatest common factor 513,1311 is 57.
Lets's calculate LCM of 704,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 106304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/106304
Therefore, the GCF of Fractions 513/704,1311/151 is 57/106304
Least Common Multiple of 704,151 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 704,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(704,151) x common factors =1 x 1 = 1
LCM(704,151) = ( 704 × 151 ) / 1
LCM(704,151) = 106304 / 1
LCM(704,151) = 106304
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FAQs on GCF of Fractions of 513/704, 1311/151
1. What is the HCF of 513,1311?
The HCF of 513,1311 is 57
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 513/704, 1311/151?
Answer: GCF of Numerators as per given numbers 513/704, 1311/151 is
GCF of Numerators i.e. for 513,1311 is 57
LCM of denominators i.e. for 704,151 is 106304.
Thus, GCF of Fractions is 57/106304.Finally, GCF of Fractions for 513/704, 1311/151 is 57/106304.