GCD of 936, 272, 274, 162 Calculator

Given Input numbers are 936, 272, 274, 162

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 162 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (936, 272, 274, 162) = 2.

Given numbers are 936, 272, 274, 162

The list of prime factors of all numbers are

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 274 are 2 x 137

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

The highest common occurrence is 2¹

Therefore, GCD of 936, 272, 274, 162 is 2.

Given numbers are 936, 272, 274, 162

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

Apply this formula for all numbers.

Step1:

LCM(936, 272) = 31824

GCD(936, 272) = ( 936 x 272 ) / 31824

= 936 / 272

= 936

Step2:

LCM(8, 274) = 1096

GCD(8, 274) = ( 8 x 274 ) / 1096

= 8 / 274

= 8

Step3:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

So, Greatest Common Divisor of 936, 272, 274, 162 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 527, 937, 705
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• GCD of 552, 671, 581, 120

Given numbers are 936, 272, 274, 162
The greatest common divisor of numbers 936, 272, 274, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 272, 274, 162 is 2.

1. What is the GCD of 936, 272, 274, 162?

GCD of given numbers 936, 272, 274, 162 is 2

2. How to calculate the greatest common divisor of 936, 272, 274, 162?

We can find the highest common divisor of 936, 272, 274, 162 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 936, 272, 274, 162 i.e 2.

3. How can I use the GCD of 936, 272, 274, 162Calculator?

Out the numbers 936, 272, 274, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.