GCD of 162, 188, 642, 824 Calculator

Given Input numbers are 162, 188, 642, 824

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (162, 188, 642, 824) = 2.

Given numbers are 162, 188, 642, 824

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 188 are 2 x 2 x 47

Prime factors of 642 are 2 x 3 x 107

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 162, 188, 642, 824 is 2.

Given numbers are 162, 188, 642, 824

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

Apply this formula for all numbers.

Step1:

LCM(162, 188) = 15228

GCD(162, 188) = ( 162 x 188 ) / 15228

= 162 / 188

= 162

Step2:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 162, 188, 642, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 592, 670, 472
• GCD of 694, 140, 792, 546
• GCD of 753, 234, 241, 912
• GCD of 465, 974, 191, 232
• GCD of 736, 378, 619, 290

Given numbers are 162, 188, 642, 824
The greatest common divisor of numbers 162, 188, 642, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 188, 642, 824 is 2.

1. What is the GCD of 162, 188, 642, 824?

GCD of given numbers 162, 188, 642, 824 is 2

2. How to calculate the greatest common divisor of 162, 188, 642, 824?

We can find the highest common divisor of 162, 188, 642, 824 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 162, 188, 642, 824 i.e 2.

3. How can I use the GCD of 162, 188, 642, 824Calculator?

Out the numbers 162, 188, 642, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.