GCD of 268, 513, 524, 165 Calculator

Given Input numbers are 268, 513, 524, 165

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 268, 513, 524, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 513, 524, 165 is 1.

Therefore, GCD of numbers 268, 513, 524, 165 is 1

Given Input Data is 268, 513, 524, 165

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 165 is 3 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(268, 513) = 137484

GCD(268, 513) = ( 268 x 513 ) / 137484

GCD(268, 513) = 137484 / 137484

GCD(268, 513) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 268, 513, 524, 165 is 1

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1. What is the GCD of 268, 513, 524, 165?

GCD of 268, 513, 524, 165 is 1

2. Where do I get the detailed procedure to find GCD of 268, 513, 524, 165?

You can find a detailed procedure to find GCD of 268, 513, 524, 165 on our page.

3. How to find GCD of 268, 513, 524, 165 on a calculator?

You can find the GCD of 268, 513, 524, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.