GCD of 686, 592, 893, 162 Calculator

Given Input numbers are 686, 592, 893, 162

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 686, 592, 893, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 592, 893, 162 is 1.

Therefore, GCD of numbers 686, 592, 893, 162 is 1

Given Input Data is 686, 592, 893, 162

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 893 is 19 x 47

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(686, 592) = 203056

GCD(686, 592) = ( 686 x 592 ) / 203056

GCD(686, 592) = 406112 / 203056

GCD(686, 592) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 893

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

LCM(2, 893) = 1786

GCD(2, 893) = ( 2 x 893 ) / 1786

GCD(2, 893) = 1786 / 1786

GCD(2, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 686, 592, 893, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 483, 936, 485
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• GCD of 149, 256, 175, 857
• GCD of 279, 442, 544, 868
• GCD of 854, 663, 466, 998

1. What is the GCD of 686, 592, 893, 162?

GCD of 686, 592, 893, 162 is 1

2. Where do I get the detailed procedure to find GCD of 686, 592, 893, 162?

You can find a detailed procedure to find GCD of 686, 592, 893, 162 on our page.

3. How to find GCD of 686, 592, 893, 162 on a calculator?

You can find the GCD of 686, 592, 893, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.