GCD of 322, 852, 956, 180 Calculator

Given Input numbers are 322, 852, 956, 180

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

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 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (322, 852, 956, 180) = 2.

Given numbers are 322, 852, 956, 180

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

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

Prime factors of 956 are 2 x 2 x 239

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 322, 852, 956, 180 is 2.

Given numbers are 322, 852, 956, 180

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

Apply this formula for all numbers.

Step1:

LCM(322, 852) = 137172

GCD(322, 852) = ( 322 x 852 ) / 137172

= 322 / 852

= 322

Step2:

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

= 2 / 956

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 322, 852, 956, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 205, 896, 615
• GCD of 746, 578, 778, 884
• GCD of 218, 737, 338, 509
• GCD of 607, 399, 157, 250
• GCD of 233, 493, 978, 349

Given numbers are 322, 852, 956, 180
The greatest common divisor of numbers 322, 852, 956, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 852, 956, 180 is 2.

1. What is the GCD of 322, 852, 956, 180?

GCD of given numbers 322, 852, 956, 180 is 2

2. How to calculate the greatest common divisor of 322, 852, 956, 180?

We can find the highest common divisor of 322, 852, 956, 180 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 322, 852, 956, 180 i.e 2.

3. How can I use the GCD of 322, 852, 956, 180Calculator?

Out the numbers 322, 852, 956, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.