GCD of 369, 960, 69, 133 Calculator

Given Input numbers are 369, 960, 69, 133

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 369, 960, 69, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 960, 69, 133 is 1.

Therefore, GCD of numbers 369, 960, 69, 133 is 1

Given Input Data is 369, 960, 69, 133

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 69 is 3 x 23

Prime Factorization of 133 is 7 x 19

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(369, 960) = 118080

GCD(369, 960) = ( 369 x 960 ) / 118080

GCD(369, 960) = 354240 / 118080

GCD(369, 960) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 133

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

LCM(3, 133) = 399

GCD(3, 133) = ( 3 x 133 ) / 399

GCD(3, 133) = 399 / 399

GCD(3, 133) = 1

GCD of 369, 960, 69, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 508, 49, 221
• GCD of 998, 733, 90, 632
• GCD of 760, 896, 68, 498
• GCD of 951, 988, 98, 836
• GCD of 454, 765, 18, 717

1. What is the GCD of 369, 960, 69, 133?

GCD of 369, 960, 69, 133 is 1

2. Where do I get the detailed procedure to find GCD of 369, 960, 69, 133?

You can find a detailed procedure to find GCD of 369, 960, 69, 133 on our page.

3. How to find GCD of 369, 960, 69, 133 on a calculator?

You can find the GCD of 369, 960, 69, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.