GCF of 36/75, 513/31, 286/497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/75, 513/31, 286/497 i.e 1/1155525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/75, 513/31, 286/497.
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 36/75,513/31,286/497?
Given fractions are 36/75,513/31,286/497
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 36/75,513/31,286/497, numerators are 36,513,286
Denominators are 75,31,497
The GCF of 36,513,286 is 1 .
LCM of 75,31,497 is 1155525.
The greatest common factor of 36/75,513/31,286/497 = [GCF of 36,513,286]/[LCM of 75,31,497]= 1/1155525
Therefore, the GCF of 36/75,513/31,286/497 is 1/1155525.
To find the highest common factor of 36,513,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 36,513,286 is 1.
Lets's calculate GCF of 36,513,286
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,513,286 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 36,513,286 . The biggest common factor number is the GCF number.
So the greatest common factor 36,513,286 is 1.
Lets's calculate LCM of 75,31,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 1155525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1155525
Therefore, the GCF of Fractions 36/75,513/31,286/497 is 1/1155525
Least Common Multiple of 75,31,497 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 75,31,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,31,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,31,497) x common factors =1 x 1 = 1
LCM(75,31,497) = ( 75 × 31 × 497 ) / 1
LCM(75,31,497) = 1155525 / 1
LCM(75,31,497) = 1155525
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FAQs on GCF of Fractions of 36/75, 513/31, 286/497
1. What is the HCF of 36,513,286?
The HCF of 36,513,286 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 36/75, 513/31, 286/497?
Answer: GCF of Numerators as per given numbers 36/75, 513/31, 286/497 is
GCF of Numerators i.e. for 36,513,286 is 1
LCM of denominators i.e. for 75,31,497 is 1155525.
Thus, GCF of Fractions is 1/1155525.Finally, GCF of Fractions for 36/75, 513/31, 286/497 is 1/1155525.