GCD of 321, 262, 500, 705 Calculator

Given Input numbers are 321, 262, 500, 705

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 262

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

1, 2, 131, 262

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 321, 262, 500, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 262, 500, 705 is 1.

Therefore, GCD of numbers 321, 262, 500, 705 is 1

Given Input Data is 321, 262, 500, 705

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 262 is 2 x 131

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 705 is 3 x 5 x 47

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, 262) = 84102

GCD(321, 262) = ( 321 x 262 ) / 84102

GCD(321, 262) = 84102 / 84102

GCD(321, 262) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 321, 262, 500, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 326, 644, 383
• GCD of 721, 450, 117, 711
• GCD of 680, 366, 659, 662
• GCD of 429, 395, 495, 378
• GCD of 983, 921, 695, 306

1. What is the GCD of 321, 262, 500, 705?

GCD of 321, 262, 500, 705 is 1

2. Where do I get the detailed procedure to find GCD of 321, 262, 500, 705?

You can find a detailed procedure to find GCD of 321, 262, 500, 705 on our page.

3. How to find GCD of 321, 262, 500, 705 on a calculator?

You can find the GCD of 321, 262, 500, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.