GCD of 659, 262, 14, 596 Calculator

Given Input numbers are 659, 262, 14, 596

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 596

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

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 659, 262, 14, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 262, 14, 596 is 1.

Therefore, GCD of numbers 659, 262, 14, 596 is 1

Given Input Data is 659, 262, 14, 596

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

Prime Factorization of 659 is 659

Prime Factorization of 262 is 2 x 131

Prime Factorization of 14 is 2 x 7

Prime Factorization of 596 is 2 x 2 x 149

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(659, 262) = 172658

GCD(659, 262) = ( 659 x 262 ) / 172658

GCD(659, 262) = 172658 / 172658

GCD(659, 262) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 659, 262, 14, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 977, 10, 522
• GCD of 178, 661, 66, 340
• GCD of 796, 749, 87, 109
• GCD of 555, 909, 91, 141
• GCD of 176, 435, 97, 490

1. What is the GCD of 659, 262, 14, 596?

GCD of 659, 262, 14, 596 is 1

2. Where do I get the detailed procedure to find GCD of 659, 262, 14, 596?

You can find a detailed procedure to find GCD of 659, 262, 14, 596 on our page.

3. How to find GCD of 659, 262, 14, 596 on a calculator?

You can find the GCD of 659, 262, 14, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.