GCD of 584, 614, 512, 572 Calculator

Given Input numbers are 584, 614, 512, 572

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 (584, 614, 512, 572) = 2.

Given numbers are 584, 614, 512, 572

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 614 are 2 x 307

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

The highest common occurrence is 2¹

Therefore, GCD of 584, 614, 512, 572 is 2.

Given numbers are 584, 614, 512, 572

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

Apply this formula for all numbers.

Step1:

LCM(584, 614) = 179288

GCD(584, 614) = ( 584 x 614 ) / 179288

= 584 / 614

= 584

Step2:

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

= 2 / 512

= 2

Step3:

LCM(2, 572) = 572

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

= 2 / 572

= 2

So, Greatest Common Divisor of 584, 614, 512, 572 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 129, 955, 313
• GCD of 563, 564, 908, 419
• GCD of 657, 256, 775, 419
• GCD of 390, 126, 664, 275
• GCD of 571, 612, 334, 223

Given numbers are 584, 614, 512, 572
The greatest common divisor of numbers 584, 614, 512, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 614, 512, 572 is 2.

1. What is the GCD of 584, 614, 512, 572?

GCD of given numbers 584, 614, 512, 572 is 2

2. How to calculate the greatest common divisor of 584, 614, 512, 572?

We can find the highest common divisor of 584, 614, 512, 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 584, 614, 512, 572 i.e 2.

3. How can I use the GCD of 584, 614, 512, 572Calculator?

Out the numbers 584, 614, 512, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.