GCD of 180, 541, 61, 846 Calculator

Given Input numbers are 180, 541, 61, 846

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

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 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 180, 541, 61, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 541, 61, 846 is 1.

Therefore, GCD of numbers 180, 541, 61, 846 is 1

Given Input Data is 180, 541, 61, 846

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

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

Prime Factorization of 541 is 541

Prime Factorization of 61 is 61

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(180, 541) = 97380

GCD(180, 541) = ( 180 x 541 ) / 97380

GCD(180, 541) = 97380 / 97380

GCD(180, 541) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 180, 541, 61, 846 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 416, 39, 688
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• GCD of 146, 362, 37, 958

1. What is the GCD of 180, 541, 61, 846?

GCD of 180, 541, 61, 846 is 1

2. Where do I get the detailed procedure to find GCD of 180, 541, 61, 846?

You can find a detailed procedure to find GCD of 180, 541, 61, 846 on our page.

3. How to find GCD of 180, 541, 61, 846 on a calculator?

You can find the GCD of 180, 541, 61, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.