GCD of 649, 574, 12, 532 Calculator

Given Input numbers are 649, 574, 12, 532

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 649, 574, 12, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 574, 12, 532 is 1.

Therefore, GCD of numbers 649, 574, 12, 532 is 1

Given Input Data is 649, 574, 12, 532

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 532 is 2 x 2 x 7 x 19

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, 574) = 372526

GCD(649, 574) = ( 649 x 574 ) / 372526

GCD(649, 574) = 372526 / 372526

GCD(649, 574) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 649, 574, 12, 532 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 206, 94, 919
• GCD of 102, 363, 43, 360
• GCD of 534, 839, 97, 194
• GCD of 334, 309, 81, 993
• GCD of 572, 254, 47, 799

1. What is the GCD of 649, 574, 12, 532?

GCD of 649, 574, 12, 532 is 1

2. Where do I get the detailed procedure to find GCD of 649, 574, 12, 532?

You can find a detailed procedure to find GCD of 649, 574, 12, 532 on our page.

3. How to find GCD of 649, 574, 12, 532 on a calculator?

You can find the GCD of 649, 574, 12, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.