GCD of 144, 858, 453, 204 Calculator

Given Input numbers are 144, 858, 453, 204

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

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 (144, 858, 453, 204) = 3.

Given numbers are 144, 858, 453, 204

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 453 are 3 x 151

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

The highest common occurrence is 3¹

Therefore, GCD of 144, 858, 453, 204 is 3.

Given numbers are 144, 858, 453, 204

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

Apply this formula for all numbers.

Step1:

LCM(144, 858) = 20592

GCD(144, 858) = ( 144 x 858 ) / 20592

= 144 / 858

= 144

Step2:

LCM(6, 453) = 906

GCD(6, 453) = ( 6 x 453 ) / 906

= 6 / 453

= 6

Step3:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

So, Greatest Common Divisor of 144, 858, 453, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 631, 277, 190
• GCD of 831, 463, 315, 731
• GCD of 946, 187, 815, 646
• GCD of 502, 411, 838, 949
• GCD of 128, 334, 569, 928

Given numbers are 144, 858, 453, 204
The greatest common divisor of numbers 144, 858, 453, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 858, 453, 204 is 3.

1. What is the GCD of 144, 858, 453, 204?

GCD of given numbers 144, 858, 453, 204 is 3

2. How to calculate the greatest common divisor of 144, 858, 453, 204?

We can find the highest common divisor of 144, 858, 453, 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 144, 858, 453, 204 i.e 3.

3. How can I use the GCD of 144, 858, 453, 204Calculator?

Out the numbers 144, 858, 453, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.