GCD of 649, 705, 32, 472 Calculator

Given Input numbers are 649, 705, 32, 472

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 649, 705, 32, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 705, 32, 472 is 1.

Therefore, GCD of numbers 649, 705, 32, 472 is 1

Given Input Data is 649, 705, 32, 472

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(649, 705) = 457545

GCD(649, 705) = ( 649 x 705 ) / 457545

GCD(649, 705) = 457545 / 457545

GCD(649, 705) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 649, 705, 32, 472 is 1

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1. What is the GCD of 649, 705, 32, 472?

GCD of 649, 705, 32, 472 is 1

2. Where do I get the detailed procedure to find GCD of 649, 705, 32, 472?

You can find a detailed procedure to find GCD of 649, 705, 32, 472 on our page.

3. How to find GCD of 649, 705, 32, 472 on a calculator?

You can find the GCD of 649, 705, 32, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.