GCD of 689, 180, 126, 205 Calculator

Given Input numbers are 689, 180, 126, 205

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 689, 180, 126, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 180, 126, 205 is 1.

Therefore, GCD of numbers 689, 180, 126, 205 is 1

Given Input Data is 689, 180, 126, 205

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 205 is 5 x 41

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(689, 180) = 124020

GCD(689, 180) = ( 689 x 180 ) / 124020

GCD(689, 180) = 124020 / 124020

GCD(689, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 689, 180, 126, 205 is 1

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• GCD of 618, 854, 200, 235
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1. What is the GCD of 689, 180, 126, 205?

GCD of 689, 180, 126, 205 is 1

2. Where do I get the detailed procedure to find GCD of 689, 180, 126, 205?

You can find a detailed procedure to find GCD of 689, 180, 126, 205 on our page.

3. How to find GCD of 689, 180, 126, 205 on a calculator?

You can find the GCD of 689, 180, 126, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.