GCD of 870, 149, 122, 561 Calculator

Given Input numbers are 870, 149, 122, 561

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 870, 149, 122, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 149, 122, 561 is 1.

Therefore, GCD of numbers 870, 149, 122, 561 is 1

Given Input Data is 870, 149, 122, 561

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 149 is 149

Prime Factorization of 122 is 2 x 61

Prime Factorization of 561 is 3 x 11 x 17

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(870, 149) = 129630

GCD(870, 149) = ( 870 x 149 ) / 129630

GCD(870, 149) = 129630 / 129630

GCD(870, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 870, 149, 122, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 506, 717, 979
• GCD of 541, 498, 680, 603
• GCD of 386, 286, 224, 793
• GCD of 169, 732, 872, 785
• GCD of 500, 186, 545, 455

1. What is the GCD of 870, 149, 122, 561?

GCD of 870, 149, 122, 561 is 1

2. Where do I get the detailed procedure to find GCD of 870, 149, 122, 561?

You can find a detailed procedure to find GCD of 870, 149, 122, 561 on our page.

3. How to find GCD of 870, 149, 122, 561 on a calculator?

You can find the GCD of 870, 149, 122, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.