GCD of 345, 869, 189, 361 Calculator

Given Input numbers are 345, 869, 189, 361

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 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

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 (345, 869, 189, 361) = 1.

Given numbers are 345, 869, 189, 361

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 869 are 11 x 79

Prime factors of 189 are 3 x 3 x 3 x 7

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 345, 869, 189, 361

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

Apply this formula for all numbers.

Step1:

LCM(345, 869) = 299805

GCD(345, 869) = ( 345 x 869 ) / 299805

= 345 / 869

= 345

Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

Step3:

LCM(1, 361) = 361

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

= 1 / 361

= 1

So, Greatest Common Divisor of 345, 869, 189, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 928, 540, 970
• GCD of 543, 907, 628, 983
• GCD of 902, 324, 688, 816
• GCD of 439, 153, 751, 346
• GCD of 283, 766, 400, 990

Given numbers are 345, 869, 189, 361
The greatest common divisor of numbers 345, 869, 189, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 869, 189, 361 is 1.

1. What is the GCD of 345, 869, 189, 361?

GCD of given numbers 345, 869, 189, 361 is 1

2. How to calculate the greatest common divisor of 345, 869, 189, 361?

We can find the highest common divisor of 345, 869, 189, 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 345, 869, 189, 361 i.e 1.

3. How can I use the GCD of 345, 869, 189, 361Calculator?

Out the numbers 345, 869, 189, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.