GCD of 972, 559, 350, 800 Calculator

Given Input numbers are 972, 559, 350, 800

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 972, 559, 350, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 559, 350, 800 is 1.

Therefore, GCD of numbers 972, 559, 350, 800 is 1

Given Input Data is 972, 559, 350, 800

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 559 is 13 x 43

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(972, 559) = 543348

GCD(972, 559) = ( 972 x 559 ) / 543348

GCD(972, 559) = 543348 / 543348

GCD(972, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 972, 559, 350, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 634, 787, 347
• GCD of 927, 554, 839, 845
• GCD of 308, 606, 153, 230
• GCD of 811, 589, 246, 175
• GCD of 305, 493, 973, 358

1. What is the GCD of 972, 559, 350, 800?

GCD of 972, 559, 350, 800 is 1

2. Where do I get the detailed procedure to find GCD of 972, 559, 350, 800?

You can find a detailed procedure to find GCD of 972, 559, 350, 800 on our page.

3. How to find GCD of 972, 559, 350, 800 on a calculator?

You can find the GCD of 972, 559, 350, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.