GCD of 354, 537, 623, 518 Calculator

Given Input numbers are 354, 537, 623, 518

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 537

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

1, 3, 179, 537

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 354, 537, 623, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 537, 623, 518 is 1.

Therefore, GCD of numbers 354, 537, 623, 518 is 1

Given Input Data is 354, 537, 623, 518

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 537 is 3 x 179

Prime Factorization of 623 is 7 x 89

Prime Factorization of 518 is 2 x 7 x 37

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(354, 537) = 63366

GCD(354, 537) = ( 354 x 537 ) / 63366

GCD(354, 537) = 190098 / 63366

GCD(354, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 623

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

LCM(3, 623) = 1869

GCD(3, 623) = ( 3 x 623 ) / 1869

GCD(3, 623) = 1869 / 1869

GCD(3, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 354, 537, 623, 518 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 171, 962, 991
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• GCD of 624, 758, 646, 452
• GCD of 672, 176, 437, 341
• GCD of 852, 567, 656, 785

1. What is the GCD of 354, 537, 623, 518?

GCD of 354, 537, 623, 518 is 1

2. Where do I get the detailed procedure to find GCD of 354, 537, 623, 518?

You can find a detailed procedure to find GCD of 354, 537, 623, 518 on our page.

3. How to find GCD of 354, 537, 623, 518 on a calculator?

You can find the GCD of 354, 537, 623, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.