GCD of 20, 754, 184, 455 Calculator

Given Input numbers are 20, 754, 184, 455

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Greatest Common Divisior

We found the divisors of 20, 754, 184, 455 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 754, 184, 455 is 1.

Therefore, GCD of numbers 20, 754, 184, 455 is 1

Given Input Data is 20, 754, 184, 455

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 455 is 5 x 7 x 13

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(20, 754) = 7540

GCD(20, 754) = ( 20 x 754 ) / 7540

GCD(20, 754) = 15080 / 7540

GCD(20, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 184

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

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

GCD(2, 184) = 368 / 184

GCD(2, 184) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 455

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

LCM(2, 455) = 910

GCD(2, 455) = ( 2 x 455 ) / 910

GCD(2, 455) = 910 / 910

GCD(2, 455) = 1

GCD of 20, 754, 184, 455 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 554, 311, 724
• GCD of 72, 679, 164, 141
• GCD of 86, 981, 833, 323
• GCD of 48, 420, 295, 635
• GCD of 57, 346, 879, 753

1. What is the GCD of 20, 754, 184, 455?

GCD of 20, 754, 184, 455 is 1

2. Where do I get the detailed procedure to find GCD of 20, 754, 184, 455?

You can find a detailed procedure to find GCD of 20, 754, 184, 455 on our page.

3. How to find GCD of 20, 754, 184, 455 on a calculator?

You can find the GCD of 20, 754, 184, 455 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.