GCD of 564, 544, 355, 304 Calculator

Given Input numbers are 564, 544, 355, 304

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

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 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (564, 544, 355, 304) = 1.

Given numbers are 564, 544, 355, 304

The list of prime factors of all numbers are

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

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 355 are 5 x 71

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Given numbers are 564, 544, 355, 304

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

Apply this formula for all numbers.

Step1:

LCM(564, 544) = 76704

GCD(564, 544) = ( 564 x 544 ) / 76704

= 564 / 544

= 564

Step2:

LCM(4, 355) = 1420

GCD(4, 355) = ( 4 x 355 ) / 1420

= 4 / 355

= 4

Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1

So, Greatest Common Divisor of 564, 544, 355, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 557, 129, 725
• GCD of 427, 698, 874, 712
• GCD of 470, 806, 672, 581
• GCD of 591, 296, 967, 595
• GCD of 836, 802, 196, 749

Given numbers are 564, 544, 355, 304
The greatest common divisor of numbers 564, 544, 355, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 544, 355, 304 is 1.

1. What is the GCD of 564, 544, 355, 304?

GCD of given numbers 564, 544, 355, 304 is 1

2. How to calculate the greatest common divisor of 564, 544, 355, 304?

We can find the highest common divisor of 564, 544, 355, 304 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 564, 544, 355, 304 i.e 1.

3. How can I use the GCD of 564, 544, 355, 304Calculator?

Out the numbers 564, 544, 355, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.