GCD of 150, 322, 355, 361 Calculator

Given Input numbers are 150, 322, 355, 361

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 322 :

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

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (150, 322, 355, 361) = 1.

Given numbers are 150, 322, 355, 361

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 322 are 2 x 7 x 23

Prime factors of 355 are 5 x 71

Prime factors of 361 are 19 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 150, 322, 355, 361

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

Apply this formula for all numbers.

Step1:

LCM(150, 322) = 24150

GCD(150, 322) = ( 150 x 322 ) / 24150

= 150 / 322

= 150

Step2:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 150, 322, 355, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 169, 698, 250
• GCD of 693, 886, 877, 532
• GCD of 744, 626, 692, 159
• GCD of 441, 750, 313, 315
• GCD of 735, 336, 217, 414

Given numbers are 150, 322, 355, 361
The greatest common divisor of numbers 150, 322, 355, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 322, 355, 361 is 1.

1. What is the GCD of 150, 322, 355, 361?

GCD of given numbers 150, 322, 355, 361 is 1

2. How to calculate the greatest common divisor of 150, 322, 355, 361?

We can find the highest common divisor of 150, 322, 355, 361 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 150, 322, 355, 361 i.e 1.

3. How can I use the GCD of 150, 322, 355, 361Calculator?

Out the numbers 150, 322, 355, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.