GCD of 182, 108, 576, 356 Calculator

Given Input numbers are 182, 108, 576, 356

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

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (182, 108, 576, 356) = 2.

Given numbers are 182, 108, 576, 356

The list of prime factors of all numbers are

Prime factors of 182 are 2 x 7 x 13

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 182, 108, 576, 356 is 2.

Given numbers are 182, 108, 576, 356

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

Apply this formula for all numbers.

Step1:

LCM(182, 108) = 9828

GCD(182, 108) = ( 182 x 108 ) / 9828

= 182 / 108

= 182

Step2:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2

Step3:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

So, Greatest Common Divisor of 182, 108, 576, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 567, 490, 775
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• GCD of 996, 977, 706, 942
• GCD of 859, 439, 297, 355
• GCD of 969, 656, 796, 354

Given numbers are 182, 108, 576, 356
The greatest common divisor of numbers 182, 108, 576, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 108, 576, 356 is 2.

1. What is the GCD of 182, 108, 576, 356?

GCD of given numbers 182, 108, 576, 356 is 2

2. How to calculate the greatest common divisor of 182, 108, 576, 356?

We can find the highest common divisor of 182, 108, 576, 356 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 182, 108, 576, 356 i.e 2.

3. How can I use the GCD of 182, 108, 576, 356Calculator?

Out the numbers 182, 108, 576, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.