GCD of 180, 849, 892, 637 Calculator

Given Input numbers are 180, 849, 892, 637

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Greatest Common Divisior

We found the divisors of 180, 849, 892, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 849, 892, 637 is 1.

Therefore, GCD of numbers 180, 849, 892, 637 is 1

Given Input Data is 180, 849, 892, 637

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 849 is 3 x 283

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 637 is 7 x 7 x 13

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, 849) = 50940

GCD(180, 849) = ( 180 x 849 ) / 50940

GCD(180, 849) = 152820 / 50940

GCD(180, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 892

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

LCM(3, 892) = 2676

GCD(3, 892) = ( 3 x 892 ) / 2676

GCD(3, 892) = 2676 / 2676

GCD(3, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

GCD of 180, 849, 892, 637 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 230, 514, 850
• GCD of 528, 261, 480, 898
• GCD of 427, 150, 136, 293
• GCD of 686, 592, 893, 162
• GCD of 158, 499, 858, 995

1. What is the GCD of 180, 849, 892, 637?

GCD of 180, 849, 892, 637 is 1

2. Where do I get the detailed procedure to find GCD of 180, 849, 892, 637?

You can find a detailed procedure to find GCD of 180, 849, 892, 637 on our page.

3. How to find GCD of 180, 849, 892, 637 on a calculator?

You can find the GCD of 180, 849, 892, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.