GCD of 345, 561, 180, 295 Calculator

Given Input numbers are 345, 561, 180, 295

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 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

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 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

GCD of numbers is the greatest common divisor

So, the GCD (345, 561, 180, 295) = 1.

Given numbers are 345, 561, 180, 295

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 561 are 3 x 11 x 17

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

Prime factors of 295 are 5 x 59

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

Given numbers are 345, 561, 180, 295

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

Apply this formula for all numbers.

Step1:

LCM(345, 561) = 64515

GCD(345, 561) = ( 345 x 561 ) / 64515

= 345 / 561

= 345

Step2:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

Step3:

LCM(3, 295) = 885

GCD(3, 295) = ( 3 x 295 ) / 885

= 3 / 295

= 3

So, Greatest Common Divisor of 345, 561, 180, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 152, 919, 463
• GCD of 436, 200, 198, 197
• GCD of 921, 786, 551, 548
• GCD of 718, 463, 155, 713
• GCD of 733, 471, 530, 855

Given numbers are 345, 561, 180, 295
The greatest common divisor of numbers 345, 561, 180, 295 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 561, 180, 295 is 1.

1. What is the GCD of 345, 561, 180, 295?

GCD of given numbers 345, 561, 180, 295 is 1

2. How to calculate the greatest common divisor of 345, 561, 180, 295?

We can find the highest common divisor of 345, 561, 180, 295 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, 561, 180, 295 i.e 1.

3. How can I use the GCD of 345, 561, 180, 295Calculator?

Out the numbers 345, 561, 180, 295 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.