GCD of 189, 564, 96, 346 Calculator

Given Input numbers are 189, 564, 96, 346

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

Divisors of 189 :

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

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

GCD of numbers is the greatest common divisor

So, the GCD (189, 564, 96, 346) = 1.

Given numbers are 189, 564, 96, 346

The list of prime factors of all numbers are

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

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 346 are 2 x 173

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

Given numbers are 189, 564, 96, 346

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

Apply this formula for all numbers.

Step1:

LCM(189, 564) = 35532

GCD(189, 564) = ( 189 x 564 ) / 35532

= 189 / 564

= 189

Step2:

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

= 3 / 96

= 3

Step3:

LCM(3, 346) = 1038

GCD(3, 346) = ( 3 x 346 ) / 1038

= 3 / 346

= 3

So, Greatest Common Divisor of 189, 564, 96, 346 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 378, 11, 987
• GCD of 304, 233, 65, 762
• GCD of 392, 119, 30, 481
• GCD of 465, 389, 23, 800
• GCD of 659, 186, 81, 608

Given numbers are 189, 564, 96, 346
The greatest common divisor of numbers 189, 564, 96, 346 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 564, 96, 346 is 1.

1. What is the GCD of 189, 564, 96, 346?

GCD of given numbers 189, 564, 96, 346 is 1

2. How to calculate the greatest common divisor of 189, 564, 96, 346?

We can find the highest common divisor of 189, 564, 96, 346 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 189, 564, 96, 346 i.e 1.

3. How can I use the GCD of 189, 564, 96, 346Calculator?

Out the numbers 189, 564, 96, 346 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.