GCD of 54, 268, 407, 369 Calculator

Given Input numbers are 54, 268, 407, 369

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 369

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

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 54, 268, 407, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 268, 407, 369 is 1.

Therefore, GCD of numbers 54, 268, 407, 369 is 1

Given Input Data is 54, 268, 407, 369

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 407 is 11 x 37

Prime Factorization of 369 is 3 x 3 x 41

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(54, 268) = 7236

GCD(54, 268) = ( 54 x 268 ) / 7236

GCD(54, 268) = 14472 / 7236

GCD(54, 268) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 54, 268, 407, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 772, 379, 944
• GCD of 76, 542, 598, 776
• GCD of 44, 743, 349, 680
• GCD of 52, 549, 915, 854
• GCD of 73, 332, 158, 712

1. What is the GCD of 54, 268, 407, 369?

GCD of 54, 268, 407, 369 is 1

2. Where do I get the detailed procedure to find GCD of 54, 268, 407, 369?

You can find a detailed procedure to find GCD of 54, 268, 407, 369 on our page.

3. How to find GCD of 54, 268, 407, 369 on a calculator?

You can find the GCD of 54, 268, 407, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.