GCD of 692, 596, 86, 161 Calculator

Given Input numbers are 692, 596, 86, 161

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

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 86

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

1, 2, 43, 86

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 692, 596, 86, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 596, 86, 161 is 1.

Therefore, GCD of numbers 692, 596, 86, 161 is 1

Given Input Data is 692, 596, 86, 161

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 86 is 2 x 43

Prime Factorization of 161 is 7 x 23

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(692, 596) = 103108

GCD(692, 596) = ( 692 x 596 ) / 103108

GCD(692, 596) = 412432 / 103108

GCD(692, 596) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 86

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

LCM(4, 86) = 172

GCD(4, 86) = ( 4 x 86 ) / 172

GCD(4, 86) = 344 / 172

GCD(4, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 161

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

LCM(2, 161) = 322

GCD(2, 161) = ( 2 x 161 ) / 322

GCD(2, 161) = 322 / 322

GCD(2, 161) = 1

GCD of 692, 596, 86, 161 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 442, 35, 517
• GCD of 705, 536, 84, 115
• GCD of 563, 292, 16, 315
• GCD of 470, 610, 17, 586
• GCD of 820, 318, 34, 858

1. What is the GCD of 692, 596, 86, 161?

GCD of 692, 596, 86, 161 is 1

2. Where do I get the detailed procedure to find GCD of 692, 596, 86, 161?

You can find a detailed procedure to find GCD of 692, 596, 86, 161 on our page.

3. How to find GCD of 692, 596, 86, 161 on a calculator?

You can find the GCD of 692, 596, 86, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.