GCD of 584, 162, 52, 400 Calculator

Given Input numbers are 584, 162, 52, 400

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 52 :

The positive integer divisors of 52 that completely divides 52 are.

1, 2, 4, 13, 26, 52

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (584, 162, 52, 400) = 2.

Given numbers are 584, 162, 52, 400

The list of prime factors of all numbers are

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

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 52 are 2 x 2 x 13

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 584, 162, 52, 400 is 2.

Given numbers are 584, 162, 52, 400

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

Apply this formula for all numbers.

Step1:

LCM(584, 162) = 47304

GCD(584, 162) = ( 584 x 162 ) / 47304

= 584 / 162

= 584

Step2:

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

= 2 / 52

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 584, 162, 52, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 244, 86, 330
• GCD of 588, 633, 94, 415
• GCD of 740, 876, 97, 586
• GCD of 327, 724, 17, 640
• GCD of 270, 607, 32, 325

Given numbers are 584, 162, 52, 400
The greatest common divisor of numbers 584, 162, 52, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 162, 52, 400 is 2.

1. What is the GCD of 584, 162, 52, 400?

GCD of given numbers 584, 162, 52, 400 is 2

2. How to calculate the greatest common divisor of 584, 162, 52, 400?

We can find the highest common divisor of 584, 162, 52, 400 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, 162, 52, 400 i.e 2.

3. How can I use the GCD of 584, 162, 52, 400Calculator?

Out the numbers 584, 162, 52, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.