GCD of 68, 431, 738, 359 Calculator

Given Input numbers are 68, 431, 738, 359

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 68, 431, 738, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 431, 738, 359 is 1.

Therefore, GCD of numbers 68, 431, 738, 359 is 1

Given Input Data is 68, 431, 738, 359

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 431 is 431

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 359 is 359

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(68, 431) = 29308

GCD(68, 431) = ( 68 x 431 ) / 29308

GCD(68, 431) = 29308 / 29308

GCD(68, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 68, 431, 738, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 493, 314, 320
• GCD of 93, 973, 602, 141
• GCD of 33, 269, 486, 782
• GCD of 41, 561, 734, 170
• GCD of 31, 927, 989, 232

1. What is the GCD of 68, 431, 738, 359?

GCD of 68, 431, 738, 359 is 1

2. Where do I get the detailed procedure to find GCD of 68, 431, 738, 359?

You can find a detailed procedure to find GCD of 68, 431, 738, 359 on our page.

3. How to find GCD of 68, 431, 738, 359 on a calculator?

You can find the GCD of 68, 431, 738, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.