GCD of 803, 180, 30, 137 Calculator

Given Input numbers are 803, 180, 30, 137

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 803, 180, 30, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 180, 30, 137 is 1.

Therefore, GCD of numbers 803, 180, 30, 137 is 1

Given Input Data is 803, 180, 30, 137

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

Prime Factorization of 803 is 11 x 73

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 137 is 137

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(803, 180) = 144540

GCD(803, 180) = ( 803 x 180 ) / 144540

GCD(803, 180) = 144540 / 144540

GCD(803, 180) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 803, 180, 30, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 817, 74, 761
• GCD of 784, 744, 65, 581
• GCD of 810, 756, 35, 258
• GCD of 930, 326, 49, 236
• GCD of 361, 940, 29, 876

1. What is the GCD of 803, 180, 30, 137?

GCD of 803, 180, 30, 137 is 1

2. Where do I get the detailed procedure to find GCD of 803, 180, 30, 137?

You can find a detailed procedure to find GCD of 803, 180, 30, 137 on our page.

3. How to find GCD of 803, 180, 30, 137 on a calculator?

You can find the GCD of 803, 180, 30, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.