GCD of 972, 198, 800, 204 Calculator

Given Input numbers are 972, 198, 800, 204

In the factoring method, we have to find the divisors of all numbers

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (972, 198, 800, 204) = 2.

Given numbers are 972, 198, 800, 204

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 972, 198, 800, 204 is 2.

Given numbers are 972, 198, 800, 204

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(972, 198) = 10692

GCD(972, 198) = ( 972 x 198 ) / 10692

= 972 / 198

= 972

Step2:

LCM(18, 800) = 7200

GCD(18, 800) = ( 18 x 800 ) / 7200

= 18 / 800

= 18

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 972, 198, 800, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 108, 297, 738
• GCD of 958, 740, 768, 914
• GCD of 746, 179, 688, 389
• GCD of 141, 251, 613, 744
• GCD of 916, 439, 462, 254

Given numbers are 972, 198, 800, 204
The greatest common divisor of numbers 972, 198, 800, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 198, 800, 204 is 2.

1. What is the GCD of 972, 198, 800, 204?

GCD of given numbers 972, 198, 800, 204 is 2

2. How to calculate the greatest common divisor of 972, 198, 800, 204?

We can find the highest common divisor of 972, 198, 800, 204 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 972, 198, 800, 204 i.e 2.

3. How can I use the GCD of 972, 198, 800, 204Calculator?

Out the numbers 972, 198, 800, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.