GCD of 269, 309, 955, 450 Calculator

Given Input numbers are 269, 309, 955, 450

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

Divisors of 269

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

1, 269

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Greatest Common Divisior

We found the divisors of 269, 309, 955, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 309, 955, 450 is 1.

Therefore, GCD of numbers 269, 309, 955, 450 is 1

Given Input Data is 269, 309, 955, 450

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

Prime Factorization of 269 is 269

Prime Factorization of 309 is 3 x 103

Prime Factorization of 955 is 5 x 191

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

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(269, 309) = 83121

GCD(269, 309) = ( 269 x 309 ) / 83121

GCD(269, 309) = 83121 / 83121

GCD(269, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 269, 309, 955, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 646, 684, 153
• GCD of 695, 597, 732, 202
• GCD of 362, 441, 720, 166
• GCD of 551, 521, 197, 958
• GCD of 404, 762, 500, 831

1. What is the GCD of 269, 309, 955, 450?

GCD of 269, 309, 955, 450 is 1

2. Where do I get the detailed procedure to find GCD of 269, 309, 955, 450?

You can find a detailed procedure to find GCD of 269, 309, 955, 450 on our page.

3. How to find GCD of 269, 309, 955, 450 on a calculator?

You can find the GCD of 269, 309, 955, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.