GCD of 176, 121, 269, 690 Calculator

Given Input numbers are 176, 121, 269, 690

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 176, 121, 269, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 121, 269, 690 is 1.

Therefore, GCD of numbers 176, 121, 269, 690 is 1

Given Input Data is 176, 121, 269, 690

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 121 is 11 x 11

Prime Factorization of 269 is 269

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(176, 121) = 1936

GCD(176, 121) = ( 176 x 121 ) / 1936

GCD(176, 121) = 21296 / 1936

GCD(176, 121) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 269

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

LCM(11, 269) = 2959

GCD(11, 269) = ( 11 x 269 ) / 2959

GCD(11, 269) = 2959 / 2959

GCD(11, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 176, 121, 269, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 484, 978, 666
• GCD of 769, 679, 906, 113
• GCD of 581, 747, 928, 796
• GCD of 516, 757, 893, 257
• GCD of 467, 830, 219, 705

1. What is the GCD of 176, 121, 269, 690?

GCD of 176, 121, 269, 690 is 1

2. Where do I get the detailed procedure to find GCD of 176, 121, 269, 690?

You can find a detailed procedure to find GCD of 176, 121, 269, 690 on our page.

3. How to find GCD of 176, 121, 269, 690 on a calculator?

You can find the GCD of 176, 121, 269, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.