GCD of 15, 983, 557, 189 Calculator

Given Input numbers are 15, 983, 557, 189

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 15, 983, 557, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 983, 557, 189 is 1.

Therefore, GCD of numbers 15, 983, 557, 189 is 1

Given Input Data is 15, 983, 557, 189

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 983 is 983

Prime Factorization of 557 is 557

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(15, 983) = 14745

GCD(15, 983) = ( 15 x 983 ) / 14745

GCD(15, 983) = 14745 / 14745

GCD(15, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 15, 983, 557, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 339, 284, 415
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• GCD of 54, 716, 932, 154
• GCD of 73, 696, 147, 385
• GCD of 51, 664, 123, 517

1. What is the GCD of 15, 983, 557, 189?

GCD of 15, 983, 557, 189 is 1

2. Where do I get the detailed procedure to find GCD of 15, 983, 557, 189?

You can find a detailed procedure to find GCD of 15, 983, 557, 189 on our page.

3. How to find GCD of 15, 983, 557, 189 on a calculator?

You can find the GCD of 15, 983, 557, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.