GCD of 165, 693, 933, 450 Calculator

Given Input numbers are 165, 693, 933, 450

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 933 :

The positive integer divisors of 933 that completely divides 933 are.

1, 3, 311, 933

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (165, 693, 933, 450) = 3.

Given numbers are 165, 693, 933, 450

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 933 are 3 x 311

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 165, 693, 933, 450 is 3.

Given numbers are 165, 693, 933, 450

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

Apply this formula for all numbers.

Step1:

LCM(165, 693) = 3465

GCD(165, 693) = ( 165 x 693 ) / 3465

= 165 / 693

= 165

Step2:

LCM(33, 933) = 10263

GCD(33, 933) = ( 33 x 933 ) / 10263

= 33 / 933

= 33

Step3:

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

= 3 / 450

= 3

So, Greatest Common Divisor of 165, 693, 933, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 119, 619, 254
• GCD of 688, 145, 853, 620
• GCD of 791, 840, 953, 761
• GCD of 478, 615, 601, 269
• GCD of 918, 561, 498, 326

Given numbers are 165, 693, 933, 450
The greatest common divisor of numbers 165, 693, 933, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 693, 933, 450 is 3.

1. What is the GCD of 165, 693, 933, 450?

GCD of given numbers 165, 693, 933, 450 is 3

2. How to calculate the greatest common divisor of 165, 693, 933, 450?

We can find the highest common divisor of 165, 693, 933, 450 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, 693, 933, 450 i.e 3.

3. How can I use the GCD of 165, 693, 933, 450Calculator?

Out the numbers 165, 693, 933, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.