GCD of 59, 507, 196, 923 Calculator

Given Input numbers are 59, 507, 196, 923

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 59, 507, 196, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 507, 196, 923 is 1.

Therefore, GCD of numbers 59, 507, 196, 923 is 1

Given Input Data is 59, 507, 196, 923

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

Prime Factorization of 59 is 59

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 923 is 13 x 71

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(59, 507) = 29913

GCD(59, 507) = ( 59 x 507 ) / 29913

GCD(59, 507) = 29913 / 29913

GCD(59, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 59, 507, 196, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 675, 623, 150
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1. What is the GCD of 59, 507, 196, 923?

GCD of 59, 507, 196, 923 is 1

2. Where do I get the detailed procedure to find GCD of 59, 507, 196, 923?

You can find a detailed procedure to find GCD of 59, 507, 196, 923 on our page.

3. How to find GCD of 59, 507, 196, 923 on a calculator?

You can find the GCD of 59, 507, 196, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.