GCD of 165, 423, 756, 508 Calculator

Given Input numbers are 165, 423, 756, 508

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

Divisors of 165 :

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

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (165, 423, 756, 508) = 1.

Given numbers are 165, 423, 756, 508

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 423 are 3 x 3 x 47

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 508 are 2 x 2 x 127

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

Given numbers are 165, 423, 756, 508

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

Apply this formula for all numbers.

Step1:

LCM(165, 423) = 23265

GCD(165, 423) = ( 165 x 423 ) / 23265

= 165 / 423

= 165

Step2:

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

= 3 / 756

= 3

Step3:

LCM(3, 508) = 1524

GCD(3, 508) = ( 3 x 508 ) / 1524

= 3 / 508

= 3

So, Greatest Common Divisor of 165, 423, 756, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 763, 985, 794
• GCD of 754, 992, 813, 736
• GCD of 996, 726, 331, 344
• GCD of 596, 421, 774, 183
• GCD of 702, 147, 213, 618

Given numbers are 165, 423, 756, 508
The greatest common divisor of numbers 165, 423, 756, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 423, 756, 508 is 1.

1. What is the GCD of 165, 423, 756, 508?

GCD of given numbers 165, 423, 756, 508 is 1

2. How to calculate the greatest common divisor of 165, 423, 756, 508?

We can find the highest common divisor of 165, 423, 756, 508 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 165, 423, 756, 508 i.e 1.

3. How can I use the GCD of 165, 423, 756, 508Calculator?

Out the numbers 165, 423, 756, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.