GCF of 5187/335, 6711/1273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5187/335, 6711/1273 i.e 3/6365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5187/335, 6711/1273.
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 5187/335,6711/1273?
Given fractions are 5187/335,6711/1273
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 5187/335,6711/1273, numerators are 5187,6711
Denominators are 335,1273
The GCF of 5187,6711 is 3 .
LCM of 335,1273 is 6365.
The greatest common factor of 5187/335,6711/1273 = [GCF of 5187,6711]/[LCM of 335,1273]= 3/6365
Therefore, the GCF of 5187/335,6711/1273 is 3/6365.
To find the highest common factor of 5187,6711, we have to find the factors of both numbers and list the highest common factor.
The factors of 5187 are 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187
The factors of 6711 are 1, 3, 2237, 6711
The HCF of 5187,6711 is 3.
Lets's calculate GCF of 5187,6711
| 3 | 5187, 6711 |
| 1729, 2237 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5187,6711 By Matching Biggest Common Factor Method
Now, list down the factors of 5187
:1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187
Now, list down the factors of 6711
:1,3,2237,6711
Greatest Common Factor
We found the factors 5187,6711 . The biggest common factor number is the GCF number.
So the greatest common factor 5187,6711 is 3.
Lets's calculate LCM of 335,1273
| 67 | 335, 1273 |
| 5, 19 |
∴ So the LCM of the given numbers is 67 x 5 x 19 = 6365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6365
Therefore, the GCF of Fractions 5187/335,6711/1273 is 3/6365
Least Common Multiple of 335,1273 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 335,1273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,1273) = 67
common factors(in case of two or more numbers have common factors) = 1
GCF(335,1273) x common factors =67 x 1 = 67
LCM(335,1273) = ( 335 × 1273 ) / 67
LCM(335,1273) = 426455 / 67
LCM(335,1273) = 6365
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FAQs on GCF of Fractions of 5187/335, 6711/1273
1. What is the HCF of 5187,6711?
The HCF of 5187,6711 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 5187/335, 6711/1273?
Answer: GCF of Numerators as per given numbers 5187/335, 6711/1273 is
GCF of Numerators i.e. for 5187,6711 is 3
LCM of denominators i.e. for 335,1273 is 6365.
Thus, GCF of Fractions is 3/6365.Finally, GCF of Fractions for 5187/335, 6711/1273 is 3/6365.