GCD of 204, 450, 152, 882 Calculator

Given Input numbers are 204, 450, 152, 882

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

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (204, 450, 152, 882) = 2.

Given numbers are 204, 450, 152, 882

The list of prime factors of all numbers are

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

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 204, 450, 152, 882 is 2.

Given numbers are 204, 450, 152, 882

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

Apply this formula for all numbers.

Step1:

LCM(204, 450) = 15300

GCD(204, 450) = ( 204 x 450 ) / 15300

= 204 / 450

= 204

Step2:

LCM(6, 152) = 456

GCD(6, 152) = ( 6 x 152 ) / 456

= 6 / 152

= 6

Step3:

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

= 2 / 882

= 2

So, Greatest Common Divisor of 204, 450, 152, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 272, 123, 765
• GCD of 205, 564, 778, 457
• GCD of 183, 810, 993, 676
• GCD of 891, 558, 357, 697
• GCD of 327, 259, 704, 178

Given numbers are 204, 450, 152, 882
The greatest common divisor of numbers 204, 450, 152, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 450, 152, 882 is 2.

1. What is the GCD of 204, 450, 152, 882?

GCD of given numbers 204, 450, 152, 882 is 2

2. How to calculate the greatest common divisor of 204, 450, 152, 882?

We can find the highest common divisor of 204, 450, 152, 882 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 204, 450, 152, 882 i.e 2.

3. How can I use the GCD of 204, 450, 152, 882Calculator?

Out the numbers 204, 450, 152, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.