GCD of 345, 537, 32, 338 Calculator

Given Input numbers are 345, 537, 32, 338

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 345, 537, 32, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 537, 32, 338 is 1.

Therefore, GCD of numbers 345, 537, 32, 338 is 1

Given Input Data is 345, 537, 32, 338

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 537 is 3 x 179

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 338 is 2 x 13 x 13

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(345, 537) = 61755

GCD(345, 537) = ( 345 x 537 ) / 61755

GCD(345, 537) = 185265 / 61755

GCD(345, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 32

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

LCM(3, 32) = 96

GCD(3, 32) = ( 3 x 32 ) / 96

GCD(3, 32) = 96 / 96

GCD(3, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 345, 537, 32, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 967, 57, 783
• GCD of 312, 946, 54, 982
• GCD of 803, 694, 38, 131
• GCD of 607, 943, 18, 242
• GCD of 402, 548, 44, 366

1. What is the GCD of 345, 537, 32, 338?

GCD of 345, 537, 32, 338 is 1

2. Where do I get the detailed procedure to find GCD of 345, 537, 32, 338?

You can find a detailed procedure to find GCD of 345, 537, 32, 338 on our page.

3. How to find GCD of 345, 537, 32, 338 on a calculator?

You can find the GCD of 345, 537, 32, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.