GCD of 622, 905, 142, 754 Calculator

Given Input numbers are 622, 905, 142, 754

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

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 754

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

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

Greatest Common Divisior

We found the divisors of 622, 905, 142, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 622, 905, 142, 754 is 1.

Therefore, GCD of numbers 622, 905, 142, 754 is 1

Given Input Data is 622, 905, 142, 754

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 905 is 5 x 181

Prime Factorization of 142 is 2 x 71

Prime Factorization of 754 is 2 x 13 x 29

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(622, 905) = 562910

GCD(622, 905) = ( 622 x 905 ) / 562910

GCD(622, 905) = 562910 / 562910

GCD(622, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 622, 905, 142, 754 is 1

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1. What is the GCD of 622, 905, 142, 754?

GCD of 622, 905, 142, 754 is 1

2. Where do I get the detailed procedure to find GCD of 622, 905, 142, 754?

You can find a detailed procedure to find GCD of 622, 905, 142, 754 on our page.

3. How to find GCD of 622, 905, 142, 754 on a calculator?

You can find the GCD of 622, 905, 142, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.