GCD of 649, 574, 200, 612 Calculator

Given Input numbers are 649, 574, 200, 612

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 649, 574, 200, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 574, 200, 612 is 1.

Therefore, GCD of numbers 649, 574, 200, 612 is 1

Given Input Data is 649, 574, 200, 612

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 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 649, 574, 200, 612 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 787, 478, 333
• GCD of 474, 467, 531, 201
• GCD of 898, 989, 993, 370
• GCD of 520, 925, 202, 977
• GCD of 543, 612, 744, 226

1. What is the GCD of 649, 574, 200, 612?

GCD of 649, 574, 200, 612 is 1

2. Where do I get the detailed procedure to find GCD of 649, 574, 200, 612?

You can find a detailed procedure to find GCD of 649, 574, 200, 612 on our page.

3. How to find GCD of 649, 574, 200, 612 on a calculator?

You can find the GCD of 649, 574, 200, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.