GCD of 462, 445, 692, 984 Calculator

Given Input numbers are 462, 445, 692, 984

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

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

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 462, 445, 692, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 445, 692, 984 is 1.

Therefore, GCD of numbers 462, 445, 692, 984 is 1

Given Input Data is 462, 445, 692, 984

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

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

Prime Factorization of 445 is 5 x 89

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(462, 445) = 205590

GCD(462, 445) = ( 462 x 445 ) / 205590

GCD(462, 445) = 205590 / 205590

GCD(462, 445) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 462, 445, 692, 984 is 1

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1. What is the GCD of 462, 445, 692, 984?

GCD of 462, 445, 692, 984 is 1

2. Where do I get the detailed procedure to find GCD of 462, 445, 692, 984?

You can find a detailed procedure to find GCD of 462, 445, 692, 984 on our page.

3. How to find GCD of 462, 445, 692, 984 on a calculator?

You can find the GCD of 462, 445, 692, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.