GCD of 345, 180, 211, 452 Calculator

Given Input numbers are 345, 180, 211, 452

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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

Divisors of 211 :

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

1, 211

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (345, 180, 211, 452) = 1.

Given numbers are 345, 180, 211, 452

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

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

Prime factors of 211 are 211

Prime factors of 452 are 2 x 2 x 113

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

Given numbers are 345, 180, 211, 452

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

Apply this formula for all numbers.

Step1:

LCM(345, 180) = 4140

GCD(345, 180) = ( 345 x 180 ) / 4140

= 345 / 180

= 345

Step2:

LCM(15, 211) = 3165

GCD(15, 211) = ( 15 x 211 ) / 3165

= 15 / 211

= 15

Step3:

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

= 1 / 452

= 1

So, Greatest Common Divisor of 345, 180, 211, 452 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 814, 465, 661
• GCD of 393, 999, 462, 882
• GCD of 512, 744, 175, 775
• GCD of 967, 650, 406, 208
• GCD of 194, 532, 222, 410

Given numbers are 345, 180, 211, 452
The greatest common divisor of numbers 345, 180, 211, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 180, 211, 452 is 1.

1. What is the GCD of 345, 180, 211, 452?

GCD of given numbers 345, 180, 211, 452 is 1

2. How to calculate the greatest common divisor of 345, 180, 211, 452?

We can find the highest common divisor of 345, 180, 211, 452 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 345, 180, 211, 452 i.e 1.

3. How can I use the GCD of 345, 180, 211, 452Calculator?

Out the numbers 345, 180, 211, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.