GCD of 408, 652, 149, 491 Calculator

Given Input numbers are 408, 652, 149, 491

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 408, 652, 149, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 652, 149, 491 is 1.

Therefore, GCD of numbers 408, 652, 149, 491 is 1

Given Input Data is 408, 652, 149, 491

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 149 is 149

Prime Factorization of 491 is 491

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(408, 652) = 66504

GCD(408, 652) = ( 408 x 652 ) / 66504

GCD(408, 652) = 266016 / 66504

GCD(408, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 149

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

LCM(4, 149) = 596

GCD(4, 149) = ( 4 x 149 ) / 596

GCD(4, 149) = 596 / 596

GCD(4, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 408, 652, 149, 491 is 1

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1. What is the GCD of 408, 652, 149, 491?

GCD of 408, 652, 149, 491 is 1

2. Where do I get the detailed procedure to find GCD of 408, 652, 149, 491?

You can find a detailed procedure to find GCD of 408, 652, 149, 491 on our page.

3. How to find GCD of 408, 652, 149, 491 on a calculator?

You can find the GCD of 408, 652, 149, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.