GCD of 162, 684, 940, 524 Calculator

Given Input numbers are 162, 684, 940, 524

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (162, 684, 940, 524) = 2.

Given numbers are 162, 684, 940, 524

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 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 162, 684, 940, 524 is 2.

Given numbers are 162, 684, 940, 524

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

Apply this formula for all numbers.

Step1:

LCM(162, 684) = 6156

GCD(162, 684) = ( 162 x 684 ) / 6156

= 162 / 684

= 162

Step2:

LCM(18, 940) = 8460

GCD(18, 940) = ( 18 x 940 ) / 8460

= 18 / 940

= 18

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 162, 684, 940, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 618, 410, 504
• GCD of 814, 590, 106, 778
• GCD of 400, 651, 244, 726
• GCD of 721, 524, 251, 423
• GCD of 414, 978, 432, 154

Given numbers are 162, 684, 940, 524
The greatest common divisor of numbers 162, 684, 940, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 684, 940, 524 is 2.

1. What is the GCD of 162, 684, 940, 524?

GCD of given numbers 162, 684, 940, 524 is 2

2. How to calculate the greatest common divisor of 162, 684, 940, 524?

We can find the highest common divisor of 162, 684, 940, 524 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, 684, 940, 524 i.e 2.

3. How can I use the GCD of 162, 684, 940, 524Calculator?

Out the numbers 162, 684, 940, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.