GCD of 262, 696, 642 Calculator

Given Input numbers are 262, 696, 642

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 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 262, 696, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 696, 642 is 2.

Therefore, GCD of numbers 262, 696, 642 is 2

Given Input Data is 262, 696, 642

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 642 is 2 x 3 x 107

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 696) = 91176

GCD(262, 696) = ( 262 x 696 ) / 91176

GCD(262, 696) = 182352 / 91176

GCD(262, 696) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

GCD of 262, 696, 642 is 2

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1. What is the GCD of 262, 696, 642?

GCD of 262, 696, 642 is 2

2. Where do I get the detailed procedure to find GCD of 262, 696, 642?

You can find a detailed procedure to find GCD of 262, 696, 642 on our page.

3. How to find GCD of 262, 696, 642 on a calculator?

You can find the GCD of 262, 696, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.