GCD of 154, 590, 28, 553 Calculator

Given Input numbers are 154, 590, 28, 553

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 154, 590, 28, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 590, 28, 553 is 1.

Therefore, GCD of numbers 154, 590, 28, 553 is 1

Given Input Data is 154, 590, 28, 553

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 553 is 7 x 79

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(154, 590) = 45430

GCD(154, 590) = ( 154 x 590 ) / 45430

GCD(154, 590) = 90860 / 45430

GCD(154, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

GCD of 154, 590, 28, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 500, 49, 266
• GCD of 985, 150, 66, 978
• GCD of 797, 568, 12, 174
• GCD of 230, 737, 32, 951
• GCD of 173, 932, 23, 534

1. What is the GCD of 154, 590, 28, 553?

GCD of 154, 590, 28, 553 is 1

2. Where do I get the detailed procedure to find GCD of 154, 590, 28, 553?

You can find a detailed procedure to find GCD of 154, 590, 28, 553 on our page.

3. How to find GCD of 154, 590, 28, 553 on a calculator?

You can find the GCD of 154, 590, 28, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.