GCD of 564, 808, 552, 574 Calculator

Given Input numbers are 564, 808, 552, 574

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 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (564, 808, 552, 574) = 2.

Given numbers are 564, 808, 552, 574

The list of prime factors of all numbers are

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

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 2¹

Therefore, GCD of 564, 808, 552, 574 is 2.

Given numbers are 564, 808, 552, 574

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

Apply this formula for all numbers.

Step1:

LCM(564, 808) = 113928

GCD(564, 808) = ( 564 x 808 ) / 113928

= 564 / 808

= 564

Step2:

LCM(4, 552) = 552

GCD(4, 552) = ( 4 x 552 ) / 552

= 4 / 552

= 4

Step3:

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

= 4 / 574

= 4

So, Greatest Common Divisor of 564, 808, 552, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 273, 416, 869
• GCD of 557, 714, 489, 341
• GCD of 449, 676, 176, 477
• GCD of 936, 992, 495, 321
• GCD of 592, 607, 938, 228

Given numbers are 564, 808, 552, 574
The greatest common divisor of numbers 564, 808, 552, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 808, 552, 574 is 2.

1. What is the GCD of 564, 808, 552, 574?

GCD of given numbers 564, 808, 552, 574 is 2

2. How to calculate the greatest common divisor of 564, 808, 552, 574?

We can find the highest common divisor of 564, 808, 552, 574 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, 808, 552, 574 i.e 2.

3. How can I use the GCD of 564, 808, 552, 574Calculator?

Out the numbers 564, 808, 552, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.