GCD of 437, 956, 71, 462 Calculator

Given Input numbers are 437, 956, 71, 462

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

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 437, 956, 71, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 956, 71, 462 is 1.

Therefore, GCD of numbers 437, 956, 71, 462 is 1

Given Input Data is 437, 956, 71, 462

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

Prime Factorization of 437 is 19 x 23

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 71 is 71

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(437, 956) = 417772

GCD(437, 956) = ( 437 x 956 ) / 417772

GCD(437, 956) = 417772 / 417772

GCD(437, 956) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 437, 956, 71, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 785, 68, 470
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• GCD of 405, 617, 26, 189
• GCD of 948, 439, 72, 960

1. What is the GCD of 437, 956, 71, 462?

GCD of 437, 956, 71, 462 is 1

2. Where do I get the detailed procedure to find GCD of 437, 956, 71, 462?

You can find a detailed procedure to find GCD of 437, 956, 71, 462 on our page.

3. How to find GCD of 437, 956, 71, 462 on a calculator?

You can find the GCD of 437, 956, 71, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.