GCD of 273, 554, 58, 746 Calculator

Given Input numbers are 273, 554, 58, 746

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

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 273, 554, 58, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 554, 58, 746 is 1.

Therefore, GCD of numbers 273, 554, 58, 746 is 1

Given Input Data is 273, 554, 58, 746

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 554 is 2 x 277

Prime Factorization of 58 is 2 x 29

Prime Factorization of 746 is 2 x 373

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(273, 554) = 151242

GCD(273, 554) = ( 273 x 554 ) / 151242

GCD(273, 554) = 151242 / 151242

GCD(273, 554) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 273, 554, 58, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 982, 23, 895
• GCD of 148, 884, 66, 745
• GCD of 420, 467, 63, 166
• GCD of 717, 365, 69, 920
• GCD of 396, 240, 15, 783

1. What is the GCD of 273, 554, 58, 746?

GCD of 273, 554, 58, 746 is 1

2. Where do I get the detailed procedure to find GCD of 273, 554, 58, 746?

You can find a detailed procedure to find GCD of 273, 554, 58, 746 on our page.

3. How to find GCD of 273, 554, 58, 746 on a calculator?

You can find the GCD of 273, 554, 58, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.