GCD of 146, 359, 206, 180 Calculator

Given Input numbers are 146, 359, 206, 180

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

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

Greatest Common Divisior

We found the divisors of 146, 359, 206, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 359, 206, 180 is 1.

Therefore, GCD of numbers 146, 359, 206, 180 is 1

Given Input Data is 146, 359, 206, 180

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 359 is 359

Prime Factorization of 206 is 2 x 103

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

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(146, 359) = 52414

GCD(146, 359) = ( 146 x 359 ) / 52414

GCD(146, 359) = 52414 / 52414

GCD(146, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 146, 359, 206, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 772, 285, 789
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• GCD of 180, 248, 681, 738
• GCD of 885, 422, 284, 359
• GCD of 685, 693, 689, 903

1. What is the GCD of 146, 359, 206, 180?

GCD of 146, 359, 206, 180 is 1

2. Where do I get the detailed procedure to find GCD of 146, 359, 206, 180?

You can find a detailed procedure to find GCD of 146, 359, 206, 180 on our page.

3. How to find GCD of 146, 359, 206, 180 on a calculator?

You can find the GCD of 146, 359, 206, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.