GCD of 204, 152, 636, 142 Calculator

Given Input numbers are 204, 152, 636, 142

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 152 :

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

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

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (204, 152, 636, 142) = 2.

Given numbers are 204, 152, 636, 142

The list of prime factors of all numbers are

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

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

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 204, 152, 636, 142 is 2.

Given numbers are 204, 152, 636, 142

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

Apply this formula for all numbers.

Step1:

LCM(204, 152) = 7752

GCD(204, 152) = ( 204 x 152 ) / 7752

= 204 / 152

= 204

Step2:

LCM(4, 636) = 636

GCD(4, 636) = ( 4 x 636 ) / 636

= 4 / 636

= 4

Step3:

LCM(4, 142) = 284

GCD(4, 142) = ( 4 x 142 ) / 284

= 4 / 142

= 4

So, Greatest Common Divisor of 204, 152, 636, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 779, 178, 805
• GCD of 700, 879, 766, 301
• GCD of 725, 353, 450, 413
• GCD of 627, 604, 441, 506
• GCD of 181, 579, 595, 786

Given numbers are 204, 152, 636, 142
The greatest common divisor of numbers 204, 152, 636, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 152, 636, 142 is 2.

1. What is the GCD of 204, 152, 636, 142?

GCD of given numbers 204, 152, 636, 142 is 2

2. How to calculate the greatest common divisor of 204, 152, 636, 142?

We can find the highest common divisor of 204, 152, 636, 142 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, 152, 636, 142 i.e 2.

3. How can I use the GCD of 204, 152, 636, 142Calculator?

Out the numbers 204, 152, 636, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.