GCD of 360, 211, 164, 269 Calculator

Given Input numbers are 360, 211, 164, 269

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 211 :

The positive integer divisors of 211 that completely divides 211 are.

1, 211

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (360, 211, 164, 269) = 1.

Given numbers are 360, 211, 164, 269

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 211 are 211

Prime factors of 164 are 2 x 2 x 41

Prime factors of 269 are 269

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

Given numbers are 360, 211, 164, 269

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

Apply this formula for all numbers.

Step1:

LCM(360, 211) = 75960

GCD(360, 211) = ( 360 x 211 ) / 75960

= 360 / 211

= 360

Step2:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

Step3:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

So, Greatest Common Divisor of 360, 211, 164, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 131, 815, 376
• GCD of 389, 864, 741, 148
• GCD of 644, 915, 344, 517
• GCD of 734, 366, 677, 683
• GCD of 805, 890, 234, 804

Given numbers are 360, 211, 164, 269
The greatest common divisor of numbers 360, 211, 164, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 211, 164, 269 is 1.

1. What is the GCD of 360, 211, 164, 269?

GCD of given numbers 360, 211, 164, 269 is 1

2. How to calculate the greatest common divisor of 360, 211, 164, 269?

We can find the highest common divisor of 360, 211, 164, 269 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 360, 211, 164, 269 i.e 1.

3. How can I use the GCD of 360, 211, 164, 269Calculator?

Out the numbers 360, 211, 164, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.