GCD of 422, 692, 85, 284 Calculator

Given Input numbers are 422, 692, 85, 284

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 422, 692, 85, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 692, 85, 284 is 1.

Therefore, GCD of numbers 422, 692, 85, 284 is 1

Given Input Data is 422, 692, 85, 284

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 85 is 5 x 17

Prime Factorization of 284 is 2 x 2 x 71

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(422, 692) = 146012

GCD(422, 692) = ( 422 x 692 ) / 146012

GCD(422, 692) = 292024 / 146012

GCD(422, 692) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

GCD of 422, 692, 85, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 912, 50, 890
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• GCD of 187, 357, 40, 614
• GCD of 281, 342, 59, 810
• GCD of 540, 540, 62, 644

1. What is the GCD of 422, 692, 85, 284?

GCD of 422, 692, 85, 284 is 1

2. Where do I get the detailed procedure to find GCD of 422, 692, 85, 284?

You can find a detailed procedure to find GCD of 422, 692, 85, 284 on our page.

3. How to find GCD of 422, 692, 85, 284 on a calculator?

You can find the GCD of 422, 692, 85, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.