GCD of 262, 654, 486, 936 Calculator

Given Input numbers are 262, 654, 486, 936

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 262, 654, 486, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 654, 486, 936 is 2.

Therefore, GCD of numbers 262, 654, 486, 936 is 2

Given Input Data is 262, 654, 486, 936

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

Prime Factorization of 262 is 2 x 131

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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, 654) = 85674

GCD(262, 654) = ( 262 x 654 ) / 85674

GCD(262, 654) = 171348 / 85674

GCD(262, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 486

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

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

GCD(2, 486) = 972 / 486

GCD(2, 486) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 936

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

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

GCD(2, 936) = 1872 / 936

GCD(2, 936) = 2

GCD of 262, 654, 486, 936 is 2

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1. What is the GCD of 262, 654, 486, 936?

GCD of 262, 654, 486, 936 is 2

2. Where do I get the detailed procedure to find GCD of 262, 654, 486, 936?

You can find a detailed procedure to find GCD of 262, 654, 486, 936 on our page.

3. How to find GCD of 262, 654, 486, 936 on a calculator?

You can find the GCD of 262, 654, 486, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.