GCD of 984, 550, 564, 572 Calculator

Given Input numbers are 984, 550, 564, 572

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

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 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (984, 550, 564, 572) = 2.

Given numbers are 984, 550, 564, 572

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 550 are 2 x 5 x 5 x 11

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

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 984, 550, 564, 572 is 2.

Given numbers are 984, 550, 564, 572

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

Apply this formula for all numbers.

Step1:

LCM(984, 550) = 270600

GCD(984, 550) = ( 984 x 550 ) / 270600

= 984 / 550

= 984

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

= 2 / 572

= 2

So, Greatest Common Divisor of 984, 550, 564, 572 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 270, 320, 963
• GCD of 894, 624, 907, 570
• GCD of 562, 562, 122, 268
• GCD of 402, 543, 287, 774
• GCD of 820, 156, 493, 801

Given numbers are 984, 550, 564, 572
The greatest common divisor of numbers 984, 550, 564, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 550, 564, 572 is 2.

1. What is the GCD of 984, 550, 564, 572?

GCD of given numbers 984, 550, 564, 572 is 2

2. How to calculate the greatest common divisor of 984, 550, 564, 572?

We can find the highest common divisor of 984, 550, 564, 572 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 984, 550, 564, 572 i.e 2.

3. How can I use the GCD of 984, 550, 564, 572Calculator?

Out the numbers 984, 550, 564, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.