GCD of 321, 984, 86, 692 Calculator

Given Input numbers are 321, 984, 86, 692

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 692

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

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 321, 984, 86, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 984, 86, 692 is 1.

Therefore, GCD of numbers 321, 984, 86, 692 is 1

Given Input Data is 321, 984, 86, 692

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

Prime Factorization of 321 is 3 x 107

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 692 is 2 x 2 x 173

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(321, 984) = 105288

GCD(321, 984) = ( 321 x 984 ) / 105288

GCD(321, 984) = 315864 / 105288

GCD(321, 984) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

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

GCD of 321, 984, 86, 692 is 1

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• GCD of 760, 542, 85, 866
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• GCD of 873, 793, 73, 208

1. What is the GCD of 321, 984, 86, 692?

GCD of 321, 984, 86, 692 is 1

2. Where do I get the detailed procedure to find GCD of 321, 984, 86, 692?

You can find a detailed procedure to find GCD of 321, 984, 86, 692 on our page.

3. How to find GCD of 321, 984, 86, 692 on a calculator?

You can find the GCD of 321, 984, 86, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.