GCD of 54, 341, 468, 653 Calculator

Given Input numbers are 54, 341, 468, 653

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 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 54, 341, 468, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 341, 468, 653 is 1.

Therefore, GCD of numbers 54, 341, 468, 653 is 1

Given Input Data is 54, 341, 468, 653

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 341 is 11 x 31

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 653 is 653

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, 341) = 18414

GCD(54, 341) = ( 54 x 341 ) / 18414

GCD(54, 341) = 18414 / 18414

GCD(54, 341) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 54, 341, 468, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 293, 875, 510
• GCD of 39, 521, 200, 565
• GCD of 53, 455, 788, 713
• GCD of 32, 554, 817, 991
• GCD of 34, 949, 796, 421

1. What is the GCD of 54, 341, 468, 653?

GCD of 54, 341, 468, 653 is 1

2. Where do I get the detailed procedure to find GCD of 54, 341, 468, 653?

You can find a detailed procedure to find GCD of 54, 341, 468, 653 on our page.

3. How to find GCD of 54, 341, 468, 653 on a calculator?

You can find the GCD of 54, 341, 468, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.