GCD of 262, 884, 83, 742 Calculator

Given Input numbers are 262, 884, 83, 742

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

Divisors of 262

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

1, 2, 131, 262

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 262, 884, 83, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 884, 83, 742 is 1.

Therefore, GCD of numbers 262, 884, 83, 742 is 1

Given Input Data is 262, 884, 83, 742

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 83 is 83

Prime Factorization of 742 is 2 x 7 x 53

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(262, 884) = 115804

GCD(262, 884) = ( 262 x 884 ) / 115804

GCD(262, 884) = 231608 / 115804

GCD(262, 884) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 262, 884, 83, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 636, 56, 549
• GCD of 220, 741, 96, 279
• GCD of 371, 397, 21, 201
• GCD of 511, 505, 30, 190
• GCD of 273, 529, 97, 165

1. What is the GCD of 262, 884, 83, 742?

GCD of 262, 884, 83, 742 is 1

2. Where do I get the detailed procedure to find GCD of 262, 884, 83, 742?

You can find a detailed procedure to find GCD of 262, 884, 83, 742 on our page.

3. How to find GCD of 262, 884, 83, 742 on a calculator?

You can find the GCD of 262, 884, 83, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.