GCD of 189, 648, 115, 152 Calculator

Given Input numbers are 189, 648, 115, 152

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

GCD of numbers is the greatest common divisor

So, the GCD (189, 648, 115, 152) = 1.

Given numbers are 189, 648, 115, 152

The list of prime factors of all numbers are

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 115 are 5 x 23

Prime factors of 152 are 2 x 2 x 2 x 19

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

Given numbers are 189, 648, 115, 152

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

Apply this formula for all numbers.

Step1:

LCM(189, 648) = 4536

GCD(189, 648) = ( 189 x 648 ) / 4536

= 189 / 648

= 189

Step2:

LCM(27, 115) = 3105

GCD(27, 115) = ( 27 x 115 ) / 3105

= 27 / 115

= 27

Step3:

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

= 1 / 152

= 1

So, Greatest Common Divisor of 189, 648, 115, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 113, 352, 877
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• GCD of 280, 979, 364, 471
• GCD of 266, 161, 226, 476

Given numbers are 189, 648, 115, 152
The greatest common divisor of numbers 189, 648, 115, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 648, 115, 152 is 1.

1. What is the GCD of 189, 648, 115, 152?

GCD of given numbers 189, 648, 115, 152 is 1

2. How to calculate the greatest common divisor of 189, 648, 115, 152?

We can find the highest common divisor of 189, 648, 115, 152 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, 648, 115, 152 i.e 1.

3. How can I use the GCD of 189, 648, 115, 152Calculator?

Out the numbers 189, 648, 115, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.