GCD of 269, 408, 63, 107 Calculator

Given Input numbers are 269, 408, 63, 107

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 269, 408, 63, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 408, 63, 107 is 1.

Therefore, GCD of numbers 269, 408, 63, 107 is 1

Given Input Data is 269, 408, 63, 107

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

Prime Factorization of 269 is 269

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 107 is 107

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, 408) = 109752

GCD(269, 408) = ( 269 x 408 ) / 109752

GCD(269, 408) = 109752 / 109752

GCD(269, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 63

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

LCM(1, 63) = 63

GCD(1, 63) = ( 1 x 63 ) / 63

GCD(1, 63) = 63 / 63

GCD(1, 63) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 269, 408, 63, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 182, 74, 974
• GCD of 383, 175, 20, 131
• GCD of 272, 870, 58, 760
• GCD of 778, 171, 87, 908
• GCD of 697, 877, 91, 308

1. What is the GCD of 269, 408, 63, 107?

GCD of 269, 408, 63, 107 is 1

2. Where do I get the detailed procedure to find GCD of 269, 408, 63, 107?

You can find a detailed procedure to find GCD of 269, 408, 63, 107 on our page.

3. How to find GCD of 269, 408, 63, 107 on a calculator?

You can find the GCD of 269, 408, 63, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.