GCD of 164, 144, 694, 936 Calculator

Given Input numbers are 164, 144, 694, 936

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

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

GCD of numbers is the greatest common divisor

So, the GCD (164, 144, 694, 936) = 2.

Given numbers are 164, 144, 694, 936

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 694 are 2 x 347

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

The highest common occurrence is 2¹

Therefore, GCD of 164, 144, 694, 936 is 2.

Given numbers are 164, 144, 694, 936

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

Apply this formula for all numbers.

Step1:

LCM(164, 144) = 5904

GCD(164, 144) = ( 164 x 144 ) / 5904

= 164 / 144

= 164

Step2:

LCM(4, 694) = 1388

GCD(4, 694) = ( 4 x 694 ) / 1388

= 4 / 694

= 4

Step3:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2

So, Greatest Common Divisor of 164, 144, 694, 936 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 309, 659, 428
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Given numbers are 164, 144, 694, 936
The greatest common divisor of numbers 164, 144, 694, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 144, 694, 936 is 2.

1. What is the GCD of 164, 144, 694, 936?

GCD of given numbers 164, 144, 694, 936 is 2

2. How to calculate the greatest common divisor of 164, 144, 694, 936?

We can find the highest common divisor of 164, 144, 694, 936 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 164, 144, 694, 936 i.e 2.

3. How can I use the GCD of 164, 144, 694, 936Calculator?

Out the numbers 164, 144, 694, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.