GCD of 128, 564, 339, 600 Calculator

Given Input numbers are 128, 564, 339, 600

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

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (128, 564, 339, 600) = 1.

Given numbers are 128, 564, 339, 600

The list of prime factors of all numbers are

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 339 are 3 x 113

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 128, 564, 339, 600

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

Apply this formula for all numbers.

Step1:

LCM(128, 564) = 18048

GCD(128, 564) = ( 128 x 564 ) / 18048

= 128 / 564

= 128

Step2:

LCM(4, 339) = 1356

GCD(4, 339) = ( 4 x 339 ) / 1356

= 4 / 339

= 4

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 128, 564, 339, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 396, 604, 415
• GCD of 790, 926, 972, 851
• GCD of 429, 966, 910, 628
• GCD of 816, 344, 815, 626
• GCD of 103, 277, 986, 724

Given numbers are 128, 564, 339, 600
The greatest common divisor of numbers 128, 564, 339, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 564, 339, 600 is 1.

1. What is the GCD of 128, 564, 339, 600?

GCD of given numbers 128, 564, 339, 600 is 1

2. How to calculate the greatest common divisor of 128, 564, 339, 600?

We can find the highest common divisor of 128, 564, 339, 600 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 128, 564, 339, 600 i.e 1.

3. How can I use the GCD of 128, 564, 339, 600Calculator?

Out the numbers 128, 564, 339, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.