GCD of 526, 388, 513, 352 Calculator

Given Input numbers are 526, 388, 513, 352

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

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 526, 388, 513, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 388, 513, 352 is 1.

Therefore, GCD of numbers 526, 388, 513, 352 is 1

Given Input Data is 526, 388, 513, 352

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 388 is 2 x 2 x 97

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 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(526, 388) = 102044

GCD(526, 388) = ( 526 x 388 ) / 102044

GCD(526, 388) = 204088 / 102044

GCD(526, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 526, 388, 513, 352 is 1

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1. What is the GCD of 526, 388, 513, 352?

GCD of 526, 388, 513, 352 is 1

2. Where do I get the detailed procedure to find GCD of 526, 388, 513, 352?

You can find a detailed procedure to find GCD of 526, 388, 513, 352 on our page.

3. How to find GCD of 526, 388, 513, 352 on a calculator?

You can find the GCD of 526, 388, 513, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.