GCD of 788, 165, 975, 288 Calculator

Given Input numbers are 788, 165, 975, 288

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (788, 165, 975, 288) = 1.

Given numbers are 788, 165, 975, 288

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 165 are 3 x 5 x 11

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 788, 165, 975, 288

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

Apply this formula for all numbers.

Step1:

LCM(788, 165) = 130020

GCD(788, 165) = ( 788 x 165 ) / 130020

= 788 / 165

= 788

Step2:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 788, 165, 975, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 707, 655, 114
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Given numbers are 788, 165, 975, 288
The greatest common divisor of numbers 788, 165, 975, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 165, 975, 288 is 1.

1. What is the GCD of 788, 165, 975, 288?

GCD of given numbers 788, 165, 975, 288 is 1

2. How to calculate the greatest common divisor of 788, 165, 975, 288?

We can find the highest common divisor of 788, 165, 975, 288 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 788, 165, 975, 288 i.e 1.

3. How can I use the GCD of 788, 165, 975, 288Calculator?

Out the numbers 788, 165, 975, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.