GCD of 322, 471, 953, 498 Calculator

Given Input numbers are 322, 471, 953, 498

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 322, 471, 953, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 471, 953, 498 is 1.

Therefore, GCD of numbers 322, 471, 953, 498 is 1

Given Input Data is 322, 471, 953, 498

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 471 is 3 x 157

Prime Factorization of 953 is 953

Prime Factorization of 498 is 2 x 3 x 83

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(322, 471) = 151662

GCD(322, 471) = ( 322 x 471 ) / 151662

GCD(322, 471) = 151662 / 151662

GCD(322, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 322, 471, 953, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 872, 413, 632
• GCD of 943, 741, 335, 282
• GCD of 921, 442, 293, 518
• GCD of 841, 357, 255, 628
• GCD of 917, 439, 275, 500

1. What is the GCD of 322, 471, 953, 498?

GCD of 322, 471, 953, 498 is 1

2. Where do I get the detailed procedure to find GCD of 322, 471, 953, 498?

You can find a detailed procedure to find GCD of 322, 471, 953, 498 on our page.

3. How to find GCD of 322, 471, 953, 498 on a calculator?

You can find the GCD of 322, 471, 953, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.