GCD of 156, 614, 869, 653 Calculator

Given Input numbers are 156, 614, 869, 653

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 156, 614, 869, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 614, 869, 653 is 1.

Therefore, GCD of numbers 156, 614, 869, 653 is 1

Given Input Data is 156, 614, 869, 653

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 614 is 2 x 307

Prime Factorization of 869 is 11 x 79

Prime Factorization of 653 is 653

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(156, 614) = 47892

GCD(156, 614) = ( 156 x 614 ) / 47892

GCD(156, 614) = 95784 / 47892

GCD(156, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 156, 614, 869, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 908, 603, 731
• GCD of 535, 863, 288, 342
• GCD of 357, 228, 323, 516
• GCD of 623, 692, 274, 820
• GCD of 821, 177, 875, 946

1. What is the GCD of 156, 614, 869, 653?

GCD of 156, 614, 869, 653 is 1

2. Where do I get the detailed procedure to find GCD of 156, 614, 869, 653?

You can find a detailed procedure to find GCD of 156, 614, 869, 653 on our page.

3. How to find GCD of 156, 614, 869, 653 on a calculator?

You can find the GCD of 156, 614, 869, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.