GCD of 705, 221, 322, 150 Calculator

Given Input numbers are 705, 221, 322, 150

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 322 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (705, 221, 322, 150) = 1.

Given numbers are 705, 221, 322, 150

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 221 are 13 x 17

Prime factors of 322 are 2 x 7 x 23

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

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

Given numbers are 705, 221, 322, 150

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

Apply this formula for all numbers.

Step1:

LCM(705, 221) = 155805

GCD(705, 221) = ( 705 x 221 ) / 155805

= 705 / 221

= 705

Step2:

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

= 1 / 322

= 1

Step3:

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

= 1 / 150

= 1

So, Greatest Common Divisor of 705, 221, 322, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 438, 542, 355
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• GCD of 960, 900, 271, 590

Given numbers are 705, 221, 322, 150
The greatest common divisor of numbers 705, 221, 322, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 221, 322, 150 is 1.

1. What is the GCD of 705, 221, 322, 150?

GCD of given numbers 705, 221, 322, 150 is 1

2. How to calculate the greatest common divisor of 705, 221, 322, 150?

We can find the highest common divisor of 705, 221, 322, 150 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 705, 221, 322, 150 i.e 1.

3. How can I use the GCD of 705, 221, 322, 150Calculator?

Out the numbers 705, 221, 322, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.