GCD of 164, 852, 590, 584 Calculator

Given Input numbers are 164, 852, 590, 584

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 584 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (164, 852, 590, 584) = 2.

Given numbers are 164, 852, 590, 584

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 590 are 2 x 5 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 164, 852, 590, 584 is 2.

Given numbers are 164, 852, 590, 584

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

Apply this formula for all numbers.

Step1:

LCM(164, 852) = 34932

GCD(164, 852) = ( 164 x 852 ) / 34932

= 164 / 852

= 164

Step2:

LCM(4, 590) = 1180

GCD(4, 590) = ( 4 x 590 ) / 1180

= 4 / 590

= 4

Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 164, 852, 590, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 188, 332, 267
• GCD of 579, 900, 519, 717
• GCD of 911, 176, 808, 981
• GCD of 735, 286, 190, 172
• GCD of 123, 968, 780, 308

Given numbers are 164, 852, 590, 584
The greatest common divisor of numbers 164, 852, 590, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 852, 590, 584 is 2.

1. What is the GCD of 164, 852, 590, 584?

GCD of given numbers 164, 852, 590, 584 is 2

2. How to calculate the greatest common divisor of 164, 852, 590, 584?

We can find the highest common divisor of 164, 852, 590, 584 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 164, 852, 590, 584 i.e 2.

3. How can I use the GCD of 164, 852, 590, 584Calculator?

Out the numbers 164, 852, 590, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.