GCD of 154, 758, 89, 473 Calculator

Given Input numbers are 154, 758, 89, 473

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 154, 758, 89, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 758, 89, 473 is 1.

Therefore, GCD of numbers 154, 758, 89, 473 is 1

Given Input Data is 154, 758, 89, 473

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 758 is 2 x 379

Prime Factorization of 89 is 89

Prime Factorization of 473 is 11 x 43

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, 758) = 58366

GCD(154, 758) = ( 154 x 758 ) / 58366

GCD(154, 758) = 116732 / 58366

GCD(154, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 154, 758, 89, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 961, 91, 709
• GCD of 262, 806, 44, 374
• GCD of 978, 242, 79, 500
• GCD of 765, 632, 90, 111
• GCD of 427, 444, 57, 861

1. What is the GCD of 154, 758, 89, 473?

GCD of 154, 758, 89, 473 is 1

2. Where do I get the detailed procedure to find GCD of 154, 758, 89, 473?

You can find a detailed procedure to find GCD of 154, 758, 89, 473 on our page.

3. How to find GCD of 154, 758, 89, 473 on a calculator?

You can find the GCD of 154, 758, 89, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.