GCD of 84, 262, 537, 499 Calculator

Given Input numbers are 84, 262, 537, 499

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 262

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

1, 2, 131, 262

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 84, 262, 537, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 262, 537, 499 is 1.

Therefore, GCD of numbers 84, 262, 537, 499 is 1

Given Input Data is 84, 262, 537, 499

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 262 is 2 x 131

Prime Factorization of 537 is 3 x 179

Prime Factorization of 499 is 499

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(84, 262) = 11004

GCD(84, 262) = ( 84 x 262 ) / 11004

GCD(84, 262) = 22008 / 11004

GCD(84, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 537

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

LCM(2, 537) = 1074

GCD(2, 537) = ( 2 x 537 ) / 1074

GCD(2, 537) = 1074 / 1074

GCD(2, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 84, 262, 537, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 155, 263, 738
• GCD of 67, 395, 674, 413
• GCD of 89, 822, 781, 717
• GCD of 13, 193, 511, 416
• GCD of 82, 681, 304, 185

1. What is the GCD of 84, 262, 537, 499?

GCD of 84, 262, 537, 499 is 1

2. Where do I get the detailed procedure to find GCD of 84, 262, 537, 499?

You can find a detailed procedure to find GCD of 84, 262, 537, 499 on our page.

3. How to find GCD of 84, 262, 537, 499 on a calculator?

You can find the GCD of 84, 262, 537, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.