GCD of 164, 696, 524, 446 Calculator

Given Input numbers are 164, 696, 524, 446

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 524 :

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

1, 2, 4, 131, 262, 524

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

GCD of numbers is the greatest common divisor

So, the GCD (164, 696, 524, 446) = 2.

Given numbers are 164, 696, 524, 446

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 524 are 2 x 2 x 131

Prime factors of 446 are 2 x 223

The highest common occurrence is 2¹

Therefore, GCD of 164, 696, 524, 446 is 2.

Given numbers are 164, 696, 524, 446

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

Apply this formula for all numbers.

Step1:

LCM(164, 696) = 28536

GCD(164, 696) = ( 164 x 696 ) / 28536

= 164 / 696

= 164

Step2:

LCM(4, 524) = 524

GCD(4, 524) = ( 4 x 524 ) / 524

= 4 / 524

= 4

Step3:

LCM(4, 446) = 892

GCD(4, 446) = ( 4 x 446 ) / 892

= 4 / 446

= 4

So, Greatest Common Divisor of 164, 696, 524, 446 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 745, 265, 110
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Given numbers are 164, 696, 524, 446
The greatest common divisor of numbers 164, 696, 524, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 696, 524, 446 is 2.

1. What is the GCD of 164, 696, 524, 446?

GCD of given numbers 164, 696, 524, 446 is 2

2. How to calculate the greatest common divisor of 164, 696, 524, 446?

We can find the highest common divisor of 164, 696, 524, 446 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, 696, 524, 446 i.e 2.

3. How can I use the GCD of 164, 696, 524, 446Calculator?

Out the numbers 164, 696, 524, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.