GCD of 474, 274, 40, 629 Calculator

Given Input numbers are 474, 274, 40, 629

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 474, 274, 40, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 274, 40, 629 is 1.

Therefore, GCD of numbers 474, 274, 40, 629 is 1

Given Input Data is 474, 274, 40, 629

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 274 is 2 x 137

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 629 is 17 x 37

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(474, 274) = 64938

GCD(474, 274) = ( 474 x 274 ) / 64938

GCD(474, 274) = 129876 / 64938

GCD(474, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 629

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

LCM(2, 629) = 1258

GCD(2, 629) = ( 2 x 629 ) / 1258

GCD(2, 629) = 1258 / 1258

GCD(2, 629) = 1

GCD of 474, 274, 40, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 187, 35, 472
• GCD of 477, 340, 32, 733
• GCD of 760, 131, 73, 691
• GCD of 177, 960, 22, 478
• GCD of 473, 311, 20, 895

1. What is the GCD of 474, 274, 40, 629?

GCD of 474, 274, 40, 629 is 1

2. Where do I get the detailed procedure to find GCD of 474, 274, 40, 629?

You can find a detailed procedure to find GCD of 474, 274, 40, 629 on our page.

3. How to find GCD of 474, 274, 40, 629 on a calculator?

You can find the GCD of 474, 274, 40, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.