GCD of 322, 598, 226, 180 Calculator

Given Input numbers are 322, 598, 226, 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 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

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, 598, 226, 180) = 2.

Given numbers are 322, 598, 226, 180

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 598 are 2 x 13 x 23

Prime factors of 226 are 2 x 113

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

The highest common occurrence is 2¹

Therefore, GCD of 322, 598, 226, 180 is 2.

Given numbers are 322, 598, 226, 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, 598) = 4186

GCD(322, 598) = ( 322 x 598 ) / 4186

= 322 / 598

= 322

Step2:

LCM(46, 226) = 5198

GCD(46, 226) = ( 46 x 226 ) / 5198

= 46 / 226

= 46

Step3:

LCM(2, 180) = 180

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

= 2 / 180

= 2

So, Greatest Common Divisor of 322, 598, 226, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 734, 385, 475
• GCD of 315, 123, 197, 242
• GCD of 550, 945, 293, 129
• GCD of 754, 821, 530, 748
• GCD of 472, 942, 678, 779

Given numbers are 322, 598, 226, 180
The greatest common divisor of numbers 322, 598, 226, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 598, 226, 180 is 2.

1. What is the GCD of 322, 598, 226, 180?

GCD of given numbers 322, 598, 226, 180 is 2

2. How to calculate the greatest common divisor of 322, 598, 226, 180?

We can find the highest common divisor of 322, 598, 226, 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, 598, 226, 180 i.e 2.

3. How can I use the GCD of 322, 598, 226, 180Calculator?

Out the numbers 322, 598, 226, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.