GCD of 576, 349, 338, 162 Calculator

Given Input numbers are 576, 349, 338, 162

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

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 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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 (576, 349, 338, 162) = 1.

Given numbers are 576, 349, 338, 162

The list of prime factors of all numbers are

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

Prime factors of 349 are 349

Prime factors of 338 are 2 x 13 x 13

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 576, 349, 338, 162

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

Apply this formula for all numbers.

Step1:

LCM(576, 349) = 201024

GCD(576, 349) = ( 576 x 349 ) / 201024

= 576 / 349

= 576

Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

Step3:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1

So, Greatest Common Divisor of 576, 349, 338, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 702, 780, 466
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• GCD of 327, 524, 711, 642
• GCD of 891, 545, 264, 635
• GCD of 662, 278, 204, 144

Given numbers are 576, 349, 338, 162
The greatest common divisor of numbers 576, 349, 338, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 349, 338, 162 is 1.

1. What is the GCD of 576, 349, 338, 162?

GCD of given numbers 576, 349, 338, 162 is 1

2. How to calculate the greatest common divisor of 576, 349, 338, 162?

We can find the highest common divisor of 576, 349, 338, 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 576, 349, 338, 162 i.e 1.

3. How can I use the GCD of 576, 349, 338, 162Calculator?

Out the numbers 576, 349, 338, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.